-2z+16z+18=3(6z-18)+20z

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Solution for -2z+16z+18=3(6z-18)+20z equation:


Simplifying
-2z + 16z + 18 = 3(6z + -18) + 20z

Reorder the terms:
18 + -2z + 16z = 3(6z + -18) + 20z

Combine like terms: -2z + 16z = 14z
18 + 14z = 3(6z + -18) + 20z

Reorder the terms:
18 + 14z = 3(-18 + 6z) + 20z
18 + 14z = (-18 * 3 + 6z * 3) + 20z
18 + 14z = (-54 + 18z) + 20z

Combine like terms: 18z + 20z = 38z
18 + 14z = -54 + 38z

Solving
18 + 14z = -54 + 38z

Solving for variable 'z'.

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

Add '-38z' to each side of the equation.
18 + 14z + -38z = -54 + 38z + -38z

Combine like terms: 14z + -38z = -24z
18 + -24z = -54 + 38z + -38z

Combine like terms: 38z + -38z = 0
18 + -24z = -54 + 0
18 + -24z = -54

Add '-18' to each side of the equation.
18 + -18 + -24z = -54 + -18

Combine like terms: 18 + -18 = 0
0 + -24z = -54 + -18
-24z = -54 + -18

Combine like terms: -54 + -18 = -72
-24z = -72

Divide each side by '-24'.
z = 3

Simplifying
z = 3

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