6z-3=15z-75

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Solution for 6z-3=15z-75 equation:


Simplifying
6z + -3 = 15z + -75

Reorder the terms:
-3 + 6z = 15z + -75

Reorder the terms:
-3 + 6z = -75 + 15z

Solving
-3 + 6z = -75 + 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.
-3 + 6z + -15z = -75 + 15z + -15z

Combine like terms: 6z + -15z = -9z
-3 + -9z = -75 + 15z + -15z

Combine like terms: 15z + -15z = 0
-3 + -9z = -75 + 0
-3 + -9z = -75

Add '3' to each side of the equation.
-3 + 3 + -9z = -75 + 3

Combine like terms: -3 + 3 = 0
0 + -9z = -75 + 3
-9z = -75 + 3

Combine like terms: -75 + 3 = -72
-9z = -72

Divide each side by '-9'.
z = 8

Simplifying
z = 8

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