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Solve for z
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8\left(5-z\right)=-7z
Multiply both sides of the equation by 7.
40-8z=-7z
Use the distributive property to multiply 8 by 5-z.
40-8z+7z=0
Add 7z to both sides.
40-z=0
Combine -8z and 7z to get -z.
-z=-40
Subtract 40 from both sides. Anything subtracted from zero gives its negation.
z=40
Multiply both sides by -1.