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Simplifying 13 + -2n = 5(-4n + -1) Reorder the terms: 13 + -2n = 5(-1 + -4n) 13 + -2n = (-1 * 5 + -4n * 5) 13 + -2n = (-5 + -20n) Solving 13 + -2n = -5 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. 13 + -2n + 20n = -5 + -20n + 20n Combine like terms: -2n + 20n = 18n 13 + 18n = -5 + -20n + 20n Combine like terms: -20n + 20n = 0 13 + 18n = -5 + 0 13 + 18n = -5 Add '-13' to each side of the equation. 13 + -13 + 18n = -5 + -13 Combine like terms: 13 + -13 = 0 0 + 18n = -5 + -13 18n = -5 + -13 Combine like terms: -5 + -13 = -18 18n = -18 Divide each side by '18'. n = -1 Simplifying n = -1
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