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Simplifying -2 + 7(1 + -1n) = 3n + 31 -2 + (1 * 7 + -1n * 7) = 3n + 31 -2 + (7 + -7n) = 3n + 31 Combine like terms: -2 + 7 = 5 5 + -7n = 3n + 31 Reorder the terms: 5 + -7n = 31 + 3n Solving 5 + -7n = 31 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 5 + -7n + -3n = 31 + 3n + -3n Combine like terms: -7n + -3n = -10n 5 + -10n = 31 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + -10n = 31 + 0 5 + -10n = 31 Add '-5' to each side of the equation. 5 + -5 + -10n = 31 + -5 Combine like terms: 5 + -5 = 0 0 + -10n = 31 + -5 -10n = 31 + -5 Combine like terms: 31 + -5 = 26 -10n = 26 Divide each side by '-10'. n = -2.6 Simplifying n = -2.6
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