Solve for z
z=-2
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-5\left(2-9z\right)=4\left(4z-17\right)
Variable z cannot be equal to \frac{17}{4} since division by zero is not defined. Multiply both sides of the equation by 5\left(4z-17\right), the least common multiple of 17-4z,5.
-10+45z=4\left(4z-17\right)
Use the distributive property to multiply -5 by 2-9z.
-10+45z=16z-68
Use the distributive property to multiply 4 by 4z-17.
-10+45z-16z=-68
Subtract 16z from both sides.
-10+29z=-68
Combine 45z and -16z to get 29z.
29z=-68+10
Add 10 to both sides.
29z=-58
Add -68 and 10 to get -58.
z=\frac{-58}{29}
Divide both sides by 29.
z=-2
Divide -58 by 29 to get -2.
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