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Simplifying 8(12 + 4z) = 3(6z + -18) (12 * 8 + 4z * 8) = 3(6z + -18) (96 + 32z) = 3(6z + -18) Reorder the terms: 96 + 32z = 3(-18 + 6z) 96 + 32z = (-18 * 3 + 6z * 3) 96 + 32z = (-54 + 18z) Solving 96 + 32z = -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. 96 + 32z + -18z = -54 + 18z + -18z Combine like terms: 32z + -18z = 14z 96 + 14z = -54 + 18z + -18z Combine like terms: 18z + -18z = 0 96 + 14z = -54 + 0 96 + 14z = -54 Add '-96' to each side of the equation. 96 + -96 + 14z = -54 + -96 Combine like terms: 96 + -96 = 0 0 + 14z = -54 + -96 14z = -54 + -96 Combine like terms: -54 + -96 = -150 14z = -150 Divide each side by '14'. z = -10.71428571 Simplifying z = -10.71428571
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