9(5-z)=-8z

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Solution for 9(5-z)=-8z equation:


Simplifying
9(5 + -1z) = -8z
(5 * 9 + -1z * 9) = -8z
(45 + -9z) = -8z

Solving
45 + -9z = -8z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '8z' to each side of the equation.
45 + -9z + 8z = -8z + 8z

Combine like terms: -9z + 8z = -1z
45 + -1z = -8z + 8z

Combine like terms: -8z + 8z = 0
45 + -1z = 0

Add '-45' to each side of the equation.
45 + -45 + -1z = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -1z = 0 + -45
-1z = 0 + -45

Combine like terms: 0 + -45 = -45
-1z = -45

Divide each side by '-1'.
z = 45

Simplifying
z = 45

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