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Simplifying -8(n + -3) = -31 + 3n Reorder the terms: -8(-3 + n) = -31 + 3n (-3 * -8 + n * -8) = -31 + 3n (24 + -8n) = -31 + 3n Solving 24 + -8n = -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. 24 + -8n + -3n = -31 + 3n + -3n Combine like terms: -8n + -3n = -11n 24 + -11n = -31 + 3n + -3n Combine like terms: 3n + -3n = 0 24 + -11n = -31 + 0 24 + -11n = -31 Add '-24' to each side of the equation. 24 + -24 + -11n = -31 + -24 Combine like terms: 24 + -24 = 0 0 + -11n = -31 + -24 -11n = -31 + -24 Combine like terms: -31 + -24 = -55 -11n = -55 Divide each side by '-11'. n = 5 Simplifying n = 5
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