9z+16=15z-74

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Solution for 9z+16=15z-74 equation:


Simplifying
9z + 16 = 15z + -74

Reorder the terms:
16 + 9z = 15z + -74

Reorder the terms:
16 + 9z = -74 + 15z

Solving
16 + 9z = -74 + 15z

Solving for variable 'z'.

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

Add '-15z' to each side of the equation.
16 + 9z + -15z = -74 + 15z + -15z

Combine like terms: 9z + -15z = -6z
16 + -6z = -74 + 15z + -15z

Combine like terms: 15z + -15z = 0
16 + -6z = -74 + 0
16 + -6z = -74

Add '-16' to each side of the equation.
16 + -16 + -6z = -74 + -16

Combine like terms: 16 + -16 = 0
0 + -6z = -74 + -16
-6z = -74 + -16

Combine like terms: -74 + -16 = -90
-6z = -90

Divide each side by '-6'.
z = 15

Simplifying
z = 15

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