72(z-90)=z+83

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Solution for 72(z-90)=z+83 equation:


Simplifying
72(z + -90) = z + 83

Reorder the terms:
72(-90 + z) = z + 83
(-90 * 72 + z * 72) = z + 83
(-6480 + 72z) = z + 83

Reorder the terms:
-6480 + 72z = 83 + z

Solving
-6480 + 72z = 83 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-6480 + 72z + -1z = 83 + z + -1z

Combine like terms: 72z + -1z = 71z
-6480 + 71z = 83 + z + -1z

Combine like terms: z + -1z = 0
-6480 + 71z = 83 + 0
-6480 + 71z = 83

Add '6480' to each side of the equation.
-6480 + 6480 + 71z = 83 + 6480

Combine like terms: -6480 + 6480 = 0
0 + 71z = 83 + 6480
71z = 83 + 6480

Combine like terms: 83 + 6480 = 6563
71z = 6563

Divide each side by '71'.
z = 92.43661972

Simplifying
z = 92.43661972

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