Solve for m 9/10-4/5m=m/10-1/3

Math
910-45m=m10-13
Simplify each term.
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Combine m and 45.
910-m⋅45=m10-13
Move 4 to the left of m.
910-4m5=m10-13
910-4m5=m10-13
Move all terms containing m to the left side of the equation.
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Subtract m10 from both sides of the equation.
910-4m5-m10=-13
To write -4m5 as a fraction with a common denominator, multiply by 22.
910-4m5⋅22-m10=-13
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
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Multiply 4m5 and 22.
910-4m⋅25⋅2-m10=-13
Multiply 5 by 2.
910-4m⋅210-m10=-13
910-4m⋅210-m10=-13
Combine the numerators over the common denominator.
910+-4m⋅2-m10=-13
Combine the numerators over the common denominator.
9-4m⋅2-m10=-13
Simplify the numerator.
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Multiply 2 by -4.
9-8m-m10=-13
Subtract m from -8m.
9-9m10=-13
Factor 9 out of 9-9m.
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Factor 9 out of 9.
9(1)-9m10=-13
Factor 9 out of -9m.
9(1)+9(-m)10=-13
Factor 9 out of 9(1)+9(-m).
9(1-m)10=-13
9(1-m)10=-13
9(1-m)10=-13
9(1-m)10=-13
Multiply both sides of the equation by 10.
9(1-m)=-13⋅10
Simplify 9(1-m).
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Apply the distributive property.
9⋅1+9(-m)=-13⋅10
Multiply.
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Multiply 9 by 1.
9+9(-m)=-13⋅10
Multiply -1 by 9.
9-9m=-13⋅10
9-9m=-13⋅10
9-9m=-13⋅10
Simplify -13⋅10.
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Multiply -13⋅10.
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Multiply 10 by -1.
9-9m=-10(13)
Combine -10 and 13.
9-9m=-103
9-9m=-103
Move the negative in front of the fraction.
9-9m=-103
9-9m=-103
Move all terms not containing m to the right side of the equation.
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Subtract 9 from both sides of the equation.
-9m=-103-9
To write -9 as a fraction with a common denominator, multiply by 33.
-9m=-103-9⋅33
Combine -9 and 33.
-9m=-103+-9⋅33
Combine the numerators over the common denominator.
-9m=-10-9⋅33
Simplify the numerator.
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Multiply -9 by 3.
-9m=-10-273
Subtract 27 from -10.
-9m=-373
-9m=-373
Move the negative in front of the fraction.
-9m=-373
-9m=-373
Divide each term by -9 and simplify.
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Divide each term in -9m=-373 by -9.
-9m-9=-373⋅(-19)
Cancel the common factor of -9.
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Cancel the common factor.
-9m-9=-373⋅(-19)
Divide m by 1.
m=-373⋅(-19)
m=-373⋅(-19)
Multiply -373(-19).
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Multiply -1 by -1.
m=1(373)19
Multiply 373 by 1.
m=373⋅19
Multiply 373 and 19.
m=373⋅9
Multiply 3 by 9.
m=3727
m=3727
m=3727
The result can be shown in multiple forms.
Exact Form:
m=3727
Decimal Form:
m=1.370‾
Mixed Number Form:
m=11027
Solve for m 9/10-4/5m=m/10-1/3

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