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Simplifying 9(12 + 4z) = (6z + -18) (12 * 9 + 4z * 9) = (6z + -18) (108 + 36z) = (6z + -18) Reorder the terms: 108 + 36z = (-18 + 6z) Remove parenthesis around (-18 + 6z) 108 + 36z = -18 + 6z Solving 108 + 36z = -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. 108 + 36z + -6z = -18 + 6z + -6z Combine like terms: 36z + -6z = 30z 108 + 30z = -18 + 6z + -6z Combine like terms: 6z + -6z = 0 108 + 30z = -18 + 0 108 + 30z = -18 Add '-108' to each side of the equation. 108 + -108 + 30z = -18 + -108 Combine like terms: 108 + -108 = 0 0 + 30z = -18 + -108 30z = -18 + -108 Combine like terms: -18 + -108 = -126 30z = -126 Divide each side by '30'. z = -4.2 Simplifying z = -4.2
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