(6z+4)+2z=2(z-6)

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Solution for (6z+4)+2z=2(z-6) equation:


Simplifying
(6z + 4) + 2z = 2(z + -6)

Reorder the terms:
(4 + 6z) + 2z = 2(z + -6)

Remove parenthesis around (4 + 6z)
4 + 6z + 2z = 2(z + -6)

Combine like terms: 6z + 2z = 8z
4 + 8z = 2(z + -6)

Reorder the terms:
4 + 8z = 2(-6 + z)
4 + 8z = (-6 * 2 + z * 2)
4 + 8z = (-12 + 2z)

Solving
4 + 8z = -12 + 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.
4 + 8z + -2z = -12 + 2z + -2z

Combine like terms: 8z + -2z = 6z
4 + 6z = -12 + 2z + -2z

Combine like terms: 2z + -2z = 0
4 + 6z = -12 + 0
4 + 6z = -12

Add '-4' to each side of the equation.
4 + -4 + 6z = -12 + -4

Combine like terms: 4 + -4 = 0
0 + 6z = -12 + -4
6z = -12 + -4

Combine like terms: -12 + -4 = -16
6z = -16

Divide each side by '6'.
z = -2.666666667

Simplifying
z = -2.666666667

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