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Simplifying 9(12 + 4z) = 3(6z + -18) (12 * 9 + 4z * 9) = 3(6z + -18) (108 + 36z) = 3(6z + -18) Reorder the terms: 108 + 36z = 3(-18 + 6z) 108 + 36z = (-18 * 3 + 6z * 3) 108 + 36z = (-54 + 18z) Solving 108 + 36z = -54 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. 108 + 36z + -18z = -54 + 18z + -18z Combine like terms: 36z + -18z = 18z 108 + 18z = -54 + 18z + -18z Combine like terms: 18z + -18z = 0 108 + 18z = -54 + 0 108 + 18z = -54 Add '-108' to each side of the equation. 108 + -108 + 18z = -54 + -108 Combine like terms: 108 + -108 = 0 0 + 18z = -54 + -108 18z = -54 + -108 Combine like terms: -54 + -108 = -162 18z = -162 Divide each side by '18'. z = -9 Simplifying z = -9
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