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Simplifying 8(4n + 9) = -9(6n + -9) Reorder the terms: 8(9 + 4n) = -9(6n + -9) (9 * 8 + 4n * 8) = -9(6n + -9) (72 + 32n) = -9(6n + -9) Reorder the terms: 72 + 32n = -9(-9 + 6n) 72 + 32n = (-9 * -9 + 6n * -9) 72 + 32n = (81 + -54n) Solving 72 + 32n = 81 + -54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '54n' to each side of the equation. 72 + 32n + 54n = 81 + -54n + 54n Combine like terms: 32n + 54n = 86n 72 + 86n = 81 + -54n + 54n Combine like terms: -54n + 54n = 0 72 + 86n = 81 + 0 72 + 86n = 81 Add '-72' to each side of the equation. 72 + -72 + 86n = 81 + -72 Combine like terms: 72 + -72 = 0 0 + 86n = 81 + -72 86n = 81 + -72 Combine like terms: 81 + -72 = 9 86n = 9 Divide each side by '86'. n = 0.1046511628 Simplifying n = 0.1046511628
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