Solve for w -7/3w+1=-1/5w-6/5

Math
-73w+1=-15w-65
Simplify each term.
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Combine w and 73.
-w⋅73+1=-15w-65
Move 7 to the left of w.
-7w3+1=-15w-65
-7w3+1=-15w-65
Combine w and 15.
-7w3+1=-w5-65
Move all terms containing w to the left side of the equation.
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Add w5 to both sides of the equation.
-7w3+1+w5=-65
To write -7w3 as a fraction with a common denominator, multiply by 55.
-7w3⋅55+w5+1=-65
To write w5 as a fraction with a common denominator, multiply by 33.
-7w3⋅55+w5⋅33+1=-65
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
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Multiply 7w3 and 55.
-7w⋅53⋅5+w5⋅33+1=-65
Multiply 3 by 5.
-7w⋅515+w5⋅33+1=-65
Multiply w5 and 33.
-7w⋅515+w⋅35⋅3+1=-65
Multiply 5 by 3.
-7w⋅515+w⋅315+1=-65
-7w⋅515+w⋅315+1=-65
Combine the numerators over the common denominator.
-7w⋅5+w⋅315+1=-65
Simplify each term.
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Simplify the numerator.
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Factor w out of -7w⋅5+w⋅3.
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Factor w out of -7w⋅5.
w(-7⋅5)+w⋅315+1=-65
Factor w out of w⋅3.
w(-7⋅5)+w(3)15+1=-65
Factor w out of w(-7⋅5)+w(3).
w(-7⋅5+3)15+1=-65
w(-7⋅5+3)15+1=-65
Multiply -7 by 5.
w(-35+3)15+1=-65
Add -35 and 3.
w⋅-3215+1=-65
w⋅-3215+1=-65
Move -32 to the left of w.
-32⋅w15+1=-65
Move the negative in front of the fraction.
-32w15+1=-65
-32w15+1=-65
-32w15+1=-65
Move all terms not containing w to the right side of the equation.
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Subtract 1 from both sides of the equation.
-32w15=-65-1
To write -1 as a fraction with a common denominator, multiply by 55.
-32w15=-65-1⋅55
Combine -1 and 55.
-32w15=-65+-1⋅55
Combine the numerators over the common denominator.
-32w15=-6-1⋅55
Simplify the numerator.
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Multiply -1 by 5.
-32w15=-6-55
Subtract 5 from -6.
-32w15=-115
-32w15=-115
Move the negative in front of the fraction.
-32w15=-115
-32w15=-115
Multiply both sides of the equation by -1532.
-1532⋅(-32w15)=-1532⋅(-115)
Simplify both sides of the equation.
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Simplify -1532⋅(-32w15).
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Cancel the common factor of 15.
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Move the leading negative in -1532 into the numerator.
-1532⋅(-32w15)=-1532⋅(-115)
Move the leading negative in -32w15 into the numerator.
-1532⋅-32w15=-1532⋅(-115)
Factor 15 out of -15.
15(-1)32⋅-32w15=-1532⋅(-115)
Cancel the common factor.
15⋅-132⋅-32w15=-1532⋅(-115)
Rewrite the expression.
-132⋅(-32w)=-1532⋅(-115)
-132⋅(-32w)=-1532⋅(-115)
Cancel the common factor of 32.
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Factor 32 out of -32w.
-132⋅(32(-w))=-1532⋅(-115)
Cancel the common factor.
-132⋅(32(-w))=-1532⋅(-115)
Rewrite the expression.
-1⋅(-w)=-1532⋅(-115)
-1⋅(-w)=-1532⋅(-115)
Multiply.
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Multiply -1 by -1.
1⋅w=-1532⋅(-115)
Multiply w by 1.
w=-1532⋅(-115)
w=-1532⋅(-115)
w=-1532⋅(-115)
Simplify -1532⋅(-115).
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Cancel the common factor of 5.
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Move the leading negative in -1532 into the numerator.
w=-1532⋅(-115)
Move the leading negative in -115 into the numerator.
w=-1532⋅-115
Factor 5 out of -15.
w=5(-3)32⋅-115
Cancel the common factor.
w=5⋅-332⋅-115
Rewrite the expression.
w=-332⋅-11
w=-332⋅-11
Combine -332 and -11.
w=-3⋅-1132
Multiply -3 by -11.
w=3332
w=3332
w=3332
The result can be shown in multiple forms.
Exact Form:
w=3332
Decimal Form:
w=1.03125
Mixed Number Form:
w=1132
Solve for w -7/3w+1=-1/5w-6/5

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