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Simplifying -1 + -4(-6 + -4n) = -31 + -2n -1 + (-6 * -4 + -4n * -4) = -31 + -2n -1 + (24 + 16n) = -31 + -2n Combine like terms: -1 + 24 = 23 23 + 16n = -31 + -2n Solving 23 + 16n = -31 + -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. 23 + 16n + 2n = -31 + -2n + 2n Combine like terms: 16n + 2n = 18n 23 + 18n = -31 + -2n + 2n Combine like terms: -2n + 2n = 0 23 + 18n = -31 + 0 23 + 18n = -31 Add '-23' to each side of the equation. 23 + -23 + 18n = -31 + -23 Combine like terms: 23 + -23 = 0 0 + 18n = -31 + -23 18n = -31 + -23 Combine like terms: -31 + -23 = -54 18n = -54 Divide each side by '18'. n = -3 Simplifying n = -3
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