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Simplifying -1 + 5(2n + -2) = 31 + 3n Reorder the terms: -1 + 5(-2 + 2n) = 31 + 3n -1 + (-2 * 5 + 2n * 5) = 31 + 3n -1 + (-10 + 10n) = 31 + 3n Combine like terms: -1 + -10 = -11 -11 + 10n = 31 + 3n Solving -11 + 10n = 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. -11 + 10n + -3n = 31 + 3n + -3n Combine like terms: 10n + -3n = 7n -11 + 7n = 31 + 3n + -3n Combine like terms: 3n + -3n = 0 -11 + 7n = 31 + 0 -11 + 7n = 31 Add '11' to each side of the equation. -11 + 11 + 7n = 31 + 11 Combine like terms: -11 + 11 = 0 0 + 7n = 31 + 11 7n = 31 + 11 Combine like terms: 31 + 11 = 42 7n = 42 Divide each side by '7'. n = 6 Simplifying n = 6
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