3(2z+6)=6-2(z-6)

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Solution for 3(2z+6)=6-2(z-6) equation:


Simplifying
3(2z + 6) = 6 + -2(z + -6)

Reorder the terms:
3(6 + 2z) = 6 + -2(z + -6)
(6 * 3 + 2z * 3) = 6 + -2(z + -6)
(18 + 6z) = 6 + -2(z + -6)

Reorder the terms:
18 + 6z = 6 + -2(-6 + z)
18 + 6z = 6 + (-6 * -2 + z * -2)
18 + 6z = 6 + (12 + -2z)

Combine like terms: 6 + 12 = 18
18 + 6z = 18 + -2z

Add '-18' to each side of the equation.
18 + -18 + 6z = 18 + -18 + -2z

Combine like terms: 18 + -18 = 0
0 + 6z = 18 + -18 + -2z
6z = 18 + -18 + -2z

Combine like terms: 18 + -18 = 0
6z = 0 + -2z
6z = -2z

Solving
6z = -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
6z + 2z = -2z + 2z

Combine like terms: 6z + 2z = 8z
8z = -2z + 2z

Combine like terms: -2z + 2z = 0
8z = 0

Divide each side by '8'.
z = 0

Simplifying
z = 0

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