9(z-5)=8z

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


Simplifying
9(z + -5) = 8z

Reorder the terms:
9(-5 + z) = 8z
(-5 * 9 + z * 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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