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Simplifying 5(n + 12) = 10(3 + -1n) Reorder the terms: 5(12 + n) = 10(3 + -1n) (12 * 5 + n * 5) = 10(3 + -1n) (60 + 5n) = 10(3 + -1n) 60 + 5n = (3 * 10 + -1n * 10) 60 + 5n = (30 + -10n) Solving 60 + 5n = 30 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 60 + 5n + 10n = 30 + -10n + 10n Combine like terms: 5n + 10n = 15n 60 + 15n = 30 + -10n + 10n Combine like terms: -10n + 10n = 0 60 + 15n = 30 + 0 60 + 15n = 30 Add '-60' to each side of the equation. 60 + -60 + 15n = 30 + -60 Combine like terms: 60 + -60 = 0 0 + 15n = 30 + -60 15n = 30 + -60 Combine like terms: 30 + -60 = -30 15n = -30 Divide each side by '15'. n = -2 Simplifying n = -2
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