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Simplifying 4(3z + 24) = 28z Reorder the terms: 4(24 + 3z) = 28z (24 * 4 + 3z * 4) = 28z (96 + 12z) = 28z Solving 96 + 12z = 28z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-28z' to each side of the equation. 96 + 12z + -28z = 28z + -28z Combine like terms: 12z + -28z = -16z 96 + -16z = 28z + -28z Combine like terms: 28z + -28z = 0 96 + -16z = 0 Add '-96' to each side of the equation. 96 + -96 + -16z = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -16z = 0 + -96 -16z = 0 + -96 Combine like terms: 0 + -96 = -96 -16z = -96 Divide each side by '-16'. z = 6 Simplifying z = 6
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