-93(z-87)=z+97

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Solution for -93(z-87)=z+97 equation:


Simplifying
-93(z + -87) = z + 97

Reorder the terms:
-93(-87 + z) = z + 97
(-87 * -93 + z * -93) = z + 97
(8091 + -93z) = z + 97

Reorder the terms:
8091 + -93z = 97 + z

Solving
8091 + -93z = 97 + 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.
8091 + -93z + -1z = 97 + z + -1z

Combine like terms: -93z + -1z = -94z
8091 + -94z = 97 + z + -1z

Combine like terms: z + -1z = 0
8091 + -94z = 97 + 0
8091 + -94z = 97

Add '-8091' to each side of the equation.
8091 + -8091 + -94z = 97 + -8091

Combine like terms: 8091 + -8091 = 0
0 + -94z = 97 + -8091
-94z = 97 + -8091

Combine like terms: 97 + -8091 = -7994
-94z = -7994

Divide each side by '-94'.
z = 85.04255319

Simplifying
z = 85.04255319

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