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Simplifying 4(7z + 9) = -24 + 5z Reorder the terms: 4(9 + 7z) = -24 + 5z (9 * 4 + 7z * 4) = -24 + 5z (36 + 28z) = -24 + 5z Solving 36 + 28z = -24 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 36 + 28z + -5z = -24 + 5z + -5z Combine like terms: 28z + -5z = 23z 36 + 23z = -24 + 5z + -5z Combine like terms: 5z + -5z = 0 36 + 23z = -24 + 0 36 + 23z = -24 Add '-36' to each side of the equation. 36 + -36 + 23z = -24 + -36 Combine like terms: 36 + -36 = 0 0 + 23z = -24 + -36 23z = -24 + -36 Combine like terms: -24 + -36 = -60 23z = -60 Divide each side by '23'. z = -2.608695652 Simplifying z = -2.608695652
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