15z-12=3(14+3z)-12

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Solution for 15z-12=3(14+3z)-12 equation:


Simplifying
15z + -12 = 3(14 + 3z) + -12

Reorder the terms:
-12 + 15z = 3(14 + 3z) + -12
-12 + 15z = (14 * 3 + 3z * 3) + -12
-12 + 15z = (42 + 9z) + -12

Reorder the terms:
-12 + 15z = 42 + -12 + 9z

Combine like terms: 42 + -12 = 30
-12 + 15z = 30 + 9z

Solving
-12 + 15z = 30 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
-12 + 15z + -9z = 30 + 9z + -9z

Combine like terms: 15z + -9z = 6z
-12 + 6z = 30 + 9z + -9z

Combine like terms: 9z + -9z = 0
-12 + 6z = 30 + 0
-12 + 6z = 30

Add '12' to each side of the equation.
-12 + 12 + 6z = 30 + 12

Combine like terms: -12 + 12 = 0
0 + 6z = 30 + 12
6z = 30 + 12

Combine like terms: 30 + 12 = 42
6z = 42

Divide each side by '6'.
z = 7

Simplifying
z = 7

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