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Simplifying 18(7z + 4) = -9(9z + -37) Reorder the terms: 18(4 + 7z) = -9(9z + -37) (4 * 18 + 7z * 18) = -9(9z + -37) (72 + 126z) = -9(9z + -37) Reorder the terms: 72 + 126z = -9(-37 + 9z) 72 + 126z = (-37 * -9 + 9z * -9) 72 + 126z = (333 + -81z) Solving 72 + 126z = 333 + -81z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '81z' to each side of the equation. 72 + 126z + 81z = 333 + -81z + 81z Combine like terms: 126z + 81z = 207z 72 + 207z = 333 + -81z + 81z Combine like terms: -81z + 81z = 0 72 + 207z = 333 + 0 72 + 207z = 333 Add '-72' to each side of the equation. 72 + -72 + 207z = 333 + -72 Combine like terms: 72 + -72 = 0 0 + 207z = 333 + -72 207z = 333 + -72 Combine like terms: 333 + -72 = 261 207z = 261 Divide each side by '207'. z = 1.260869565 Simplifying z = 1.260869565
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