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Simplifying 3(z + 9) = 15z + -34 Reorder the terms: 3(9 + z) = 15z + -34 (9 * 3 + z * 3) = 15z + -34 (27 + 3z) = 15z + -34 Reorder the terms: 27 + 3z = -34 + 15z Solving 27 + 3z = -34 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. 27 + 3z + -15z = -34 + 15z + -15z Combine like terms: 3z + -15z = -12z 27 + -12z = -34 + 15z + -15z Combine like terms: 15z + -15z = 0 27 + -12z = -34 + 0 27 + -12z = -34 Add '-27' to each side of the equation. 27 + -27 + -12z = -34 + -27 Combine like terms: 27 + -27 = 0 0 + -12z = -34 + -27 -12z = -34 + -27 Combine like terms: -34 + -27 = -61 -12z = -61 Divide each side by '-12'. z = 5.083333333 Simplifying z = 5.083333333
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