4(3z+6)=6-3(z-6)

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Solution for 4(3z+6)=6-3(z-6) equation:


Simplifying
4(3z + 6) = 6 + -3(z + -6)

Reorder the terms:
4(6 + 3z) = 6 + -3(z + -6)
(6 * 4 + 3z * 4) = 6 + -3(z + -6)
(24 + 12z) = 6 + -3(z + -6)

Reorder the terms:
24 + 12z = 6 + -3(-6 + z)
24 + 12z = 6 + (-6 * -3 + z * -3)
24 + 12z = 6 + (18 + -3z)

Combine like terms: 6 + 18 = 24
24 + 12z = 24 + -3z

Add '-24' to each side of the equation.
24 + -24 + 12z = 24 + -24 + -3z

Combine like terms: 24 + -24 = 0
0 + 12z = 24 + -24 + -3z
12z = 24 + -24 + -3z

Combine like terms: 24 + -24 = 0
12z = 0 + -3z
12z = -3z

Solving
12z = -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
12z + 3z = -3z + 3z

Combine like terms: 12z + 3z = 15z
15z = -3z + 3z

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

Divide each side by '15'.
z = 0

Simplifying
z = 0

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