Solve for a 448÷(a+17)=-64

Math
448÷(a+17)=-64
Rewrite the division as a fraction.
448a+17=-64
Solve for a.
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Multiply each term by a+17 and simplify.
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Multiply each term in 448a+17=-64 by a+17.
448a+17⋅(a+17)=-64⋅(a+17)
Cancel the common factor of a+17.
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Cancel the common factor.
448a+17⋅(a+17)=-64⋅(a+17)
Rewrite the expression.
448=-64⋅(a+17)
448=-64⋅(a+17)
Simplify -64⋅(a+17).
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Apply the distributive property.
448=-64a-64⋅17
Multiply -64 by 17.
448=-64a-1088
448=-64a-1088
448=-64a-1088
Rewrite the equation as -64a-1088=448.
-64a-1088=448
Move all terms not containing a to the right side of the equation.
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Add 1088 to both sides of the equation.
-64a=448+1088
Add 448 and 1088.
-64a=1536
-64a=1536
Divide each term by -64 and simplify.
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Divide each term in -64a=1536 by -64.
-64a-64=1536-64
Cancel the common factor of -64.
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Cancel the common factor.
-64a-64=1536-64
Divide a by 1.
a=1536-64
a=1536-64
Divide 1536 by -64.
a=-24
a=-24
a=-24
Solve for a 448÷(a+17)=-64

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