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Simplifying 9(2n + 8) = 18(n + 3) + -24n Reorder the terms: 9(8 + 2n) = 18(n + 3) + -24n (8 * 9 + 2n * 9) = 18(n + 3) + -24n (72 + 18n) = 18(n + 3) + -24n Reorder the terms: 72 + 18n = 18(3 + n) + -24n 72 + 18n = (3 * 18 + n * 18) + -24n 72 + 18n = (54 + 18n) + -24n Combine like terms: 18n + -24n = -6n 72 + 18n = 54 + -6n Solving 72 + 18n = 54 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 72 + 18n + 6n = 54 + -6n + 6n Combine like terms: 18n + 6n = 24n 72 + 24n = 54 + -6n + 6n Combine like terms: -6n + 6n = 0 72 + 24n = 54 + 0 72 + 24n = 54 Add '-72' to each side of the equation. 72 + -72 + 24n = 54 + -72 Combine like terms: 72 + -72 = 0 0 + 24n = 54 + -72 24n = 54 + -72 Combine like terms: 54 + -72 = -18 24n = -18 Divide each side by '24'. n = -0.75 Simplifying n = -0.75
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