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Simplifying 3(4z + 9) = -29 + 20 Reorder the terms: 3(9 + 4z) = -29 + 20 (9 * 3 + 4z * 3) = -29 + 20 (27 + 12z) = -29 + 20 Combine like terms: -29 + 20 = -9 27 + 12z = -9 Solving 27 + 12z = -9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 12z = -9 + -27 Combine like terms: 27 + -27 = 0 0 + 12z = -9 + -27 12z = -9 + -27 Combine like terms: -9 + -27 = -36 12z = -36 Divide each side by '12'. z = -3 Simplifying z = -3
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