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Simplifying -3n + -31 = -1(1 + -2n) Reorder the terms: -31 + -3n = -1(1 + -2n) -31 + -3n = (1 * -1 + -2n * -1) -31 + -3n = (-1 + 2n) Solving -31 + -3n = -1 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -31 + -3n + -2n = -1 + 2n + -2n Combine like terms: -3n + -2n = -5n -31 + -5n = -1 + 2n + -2n Combine like terms: 2n + -2n = 0 -31 + -5n = -1 + 0 -31 + -5n = -1 Add '31' to each side of the equation. -31 + 31 + -5n = -1 + 31 Combine like terms: -31 + 31 = 0 0 + -5n = -1 + 31 -5n = -1 + 31 Combine like terms: -1 + 31 = 30 -5n = 30 Divide each side by '-5'. n = -6 Simplifying n = -6
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