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Simplifying -3 + 5(-2n + 2) = 31 + -7n Reorder the terms: -3 + 5(2 + -2n) = 31 + -7n -3 + (2 * 5 + -2n * 5) = 31 + -7n -3 + (10 + -10n) = 31 + -7n Combine like terms: -3 + 10 = 7 7 + -10n = 31 + -7n Solving 7 + -10n = 31 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 7 + -10n + 7n = 31 + -7n + 7n Combine like terms: -10n + 7n = -3n 7 + -3n = 31 + -7n + 7n Combine like terms: -7n + 7n = 0 7 + -3n = 31 + 0 7 + -3n = 31 Add '-7' to each side of the equation. 7 + -7 + -3n = 31 + -7 Combine like terms: 7 + -7 = 0 0 + -3n = 31 + -7 -3n = 31 + -7 Combine like terms: 31 + -7 = 24 -3n = 24 Divide each side by '-3'. n = -8 Simplifying n = -8
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