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Simplifying -31 + -6n = 5(n + -4) Reorder the terms: -31 + -6n = 5(-4 + n) -31 + -6n = (-4 * 5 + n * 5) -31 + -6n = (-20 + 5n) Solving -31 + -6n = -20 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -31 + -6n + -5n = -20 + 5n + -5n Combine like terms: -6n + -5n = -11n -31 + -11n = -20 + 5n + -5n Combine like terms: 5n + -5n = 0 -31 + -11n = -20 + 0 -31 + -11n = -20 Add '31' to each side of the equation. -31 + 31 + -11n = -20 + 31 Combine like terms: -31 + 31 = 0 0 + -11n = -20 + 31 -11n = -20 + 31 Combine like terms: -20 + 31 = 11 -11n = 11 Divide each side by '-11'. n = -1 Simplifying n = -1
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