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Simplifying 31 + 6n = -5(1 + -3n) 31 + 6n = (1 * -5 + -3n * -5) 31 + 6n = (-5 + 15n) Solving 31 + 6n = -5 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 31 + 6n + -15n = -5 + 15n + -15n Combine like terms: 6n + -15n = -9n 31 + -9n = -5 + 15n + -15n Combine like terms: 15n + -15n = 0 31 + -9n = -5 + 0 31 + -9n = -5 Add '-31' to each side of the equation. 31 + -31 + -9n = -5 + -31 Combine like terms: 31 + -31 = 0 0 + -9n = -5 + -31 -9n = -5 + -31 Combine like terms: -5 + -31 = -36 -9n = -36 Divide each side by '-9'. n = 4 Simplifying n = 4
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