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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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