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Simplifying 9 + -5z = 12(6z + 7) Reorder the terms: 9 + -5z = 12(7 + 6z) 9 + -5z = (7 * 12 + 6z * 12) 9 + -5z = (84 + 72z) Solving 9 + -5z = 84 + 72z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-72z' to each side of the equation. 9 + -5z + -72z = 84 + 72z + -72z Combine like terms: -5z + -72z = -77z 9 + -77z = 84 + 72z + -72z Combine like terms: 72z + -72z = 0 9 + -77z = 84 + 0 9 + -77z = 84 Add '-9' to each side of the equation. 9 + -9 + -77z = 84 + -9 Combine like terms: 9 + -9 = 0 0 + -77z = 84 + -9 -77z = 84 + -9 Combine like terms: 84 + -9 = 75 -77z = 75 Divide each side by '-77'. z = -0.974025974 Simplifying z = -0.974025974
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