2z+6=6z-18

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Solution for 2z+6=6z-18 equation:


Simplifying
2z + 6 = 6z + -18

Reorder the terms:
6 + 2z = 6z + -18

Reorder the terms:
6 + 2z = -18 + 6z

Solving
6 + 2z = -18 + 6z

Solving for variable 'z'.

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

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

Combine like terms: 2z + -6z = -4z
6 + -4z = -18 + 6z + -6z

Combine like terms: 6z + -6z = 0
6 + -4z = -18 + 0
6 + -4z = -18

Add '-6' to each side of the equation.
6 + -6 + -4z = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -4z = -18 + -6
-4z = -18 + -6

Combine like terms: -18 + -6 = -24
-4z = -24

Divide each side by '-4'.
z = 6

Simplifying
z = 6

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