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Simplifying 31 + 5n = -4(-4n + 6) Reorder the terms: 31 + 5n = -4(6 + -4n) 31 + 5n = (6 * -4 + -4n * -4) 31 + 5n = (-24 + 16n) Solving 31 + 5n = -24 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 31 + 5n + -16n = -24 + 16n + -16n Combine like terms: 5n + -16n = -11n 31 + -11n = -24 + 16n + -16n Combine like terms: 16n + -16n = 0 31 + -11n = -24 + 0 31 + -11n = -24 Add '-31' to each side of the equation. 31 + -31 + -11n = -24 + -31 Combine like terms: 31 + -31 = 0 0 + -11n = -24 + -31 -11n = -24 + -31 Combine like terms: -24 + -31 = -55 -11n = -55 Divide each side by '-11'. n = 5 Simplifying n = 5
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