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Simplifying 60 = 6(n + 1) + -3(10n + -2) Reorder the terms: 60 = 6(1 + n) + -3(10n + -2) 60 = (1 * 6 + n * 6) + -3(10n + -2) 60 = (6 + 6n) + -3(10n + -2) Reorder the terms: 60 = 6 + 6n + -3(-2 + 10n) 60 = 6 + 6n + (-2 * -3 + 10n * -3) 60 = 6 + 6n + (6 + -30n) Reorder the terms: 60 = 6 + 6 + 6n + -30n Combine like terms: 6 + 6 = 12 60 = 12 + 6n + -30n Combine like terms: 6n + -30n = -24n 60 = 12 + -24n Solving 60 = 12 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 60 + 24n = 12 + -24n + 24n Combine like terms: -24n + 24n = 0 60 + 24n = 12 + 0 60 + 24n = 12 Add '-60' to each side of the equation. 60 + -60 + 24n = 12 + -60 Combine like terms: 60 + -60 = 0 0 + 24n = 12 + -60 24n = 12 + -60 Combine like terms: 12 + -60 = -48 24n = -48 Divide each side by '24'. n = -2 Simplifying n = -2
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