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Simplifying 12[4 + n] + 5[-2n + -9] = 18 [4 * 12 + n * 12] + 5[-2n + -9] = 18 [48 + 12n] + 5[-2n + -9] = 18 Reorder the terms: 48 + 12n + 5[-9 + -2n] = 18 48 + 12n + [-9 * 5 + -2n * 5] = 18 48 + 12n + [-45 + -10n] = 18 Reorder the terms: 48 + -45 + 12n + -10n = 18 Combine like terms: 48 + -45 = 3 3 + 12n + -10n = 18 Combine like terms: 12n + -10n = 2n 3 + 2n = 18 Solving 3 + 2n = 18 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2n = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = 18 + -3 2n = 18 + -3 Combine like terms: 18 + -3 = 15 2n = 15 Divide each side by '2'. n = 7.5 Simplifying n = 7.5
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