-6z+36=3(3z-8)

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Solution for -6z+36=3(3z-8) equation: 


Simplifying
-6z + 36 = 3(3z + -8)

Reorder the terms:
36 + -6z = 3(3z + -8)

Reorder the terms:
36 + -6z = 3(-8 + 3z)
36 + -6z = (-8 * 3 + 3z * 3)
36 + -6z = (-24 + 9z)

Solving
36 + -6z = -24 + 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.
36 + -6z + -9z = -24 + 9z + -9z

Combine like terms: -6z + -9z = -15z
36 + -15z = -24 + 9z + -9z

Combine like terms: 9z + -9z = 0
36 + -15z = -24 + 0
36 + -15z = -24

Add '-36' to each side of the equation.
36 + -36 + -15z = -24 + -36

Combine like terms: 36 + -36 = 0
0 + -15z = -24 + -36
-15z = -24 + -36

Combine like terms: -24 + -36 = -60
-15z = -60

Divide each side by '-15'.
z = 4

Simplifying
z = 4

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