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Simplifying 3(4z + 3) + -5z = 58 Reorder the terms: 3(3 + 4z) + -5z = 58 (3 * 3 + 4z * 3) + -5z = 58 (9 + 12z) + -5z = 58 Combine like terms: 12z + -5z = 7z 9 + 7z = 58 Solving 9 + 7z = 58 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7z = 58 + -9 Combine like terms: 9 + -9 = 0 0 + 7z = 58 + -9 7z = 58 + -9 Combine like terms: 58 + -9 = 49 7z = 49 Divide each side by '7'. z = 7 Simplifying z = 7
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