-8(4z-9)=25-5z

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Solution for -8(4z-9)=25-5z equation:


Simplifying
-8(4z + -9) = 25 + -5z

Reorder the terms:
-8(-9 + 4z) = 25 + -5z
(-9 * -8 + 4z * -8) = 25 + -5z
(72 + -32z) = 25 + -5z

Solving
72 + -32z = 25 + -5z

Solving for variable 'z'.

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

Add '5z' to each side of the equation.
72 + -32z + 5z = 25 + -5z + 5z

Combine like terms: -32z + 5z = -27z
72 + -27z = 25 + -5z + 5z

Combine like terms: -5z + 5z = 0
72 + -27z = 25 + 0
72 + -27z = 25

Add '-72' to each side of the equation.
72 + -72 + -27z = 25 + -72

Combine like terms: 72 + -72 = 0
0 + -27z = 25 + -72
-27z = 25 + -72

Combine like terms: 25 + -72 = -47
-27z = -47

Divide each side by '-27'.
z = 1.740740741

Simplifying
z = 1.740740741

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