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Simplifying 13 + -1(3 + -1n) = 5(n + -2) 13 + (3 * -1 + -1n * -1) = 5(n + -2) 13 + (-3 + 1n) = 5(n + -2) Combine like terms: 13 + -3 = 10 10 + 1n = 5(n + -2) Reorder the terms: 10 + 1n = 5(-2 + n) 10 + 1n = (-2 * 5 + n * 5) 10 + 1n = (-10 + 5n) Solving 10 + 1n = -10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 10 + 1n + -5n = -10 + 5n + -5n Combine like terms: 1n + -5n = -4n 10 + -4n = -10 + 5n + -5n Combine like terms: 5n + -5n = 0 10 + -4n = -10 + 0 10 + -4n = -10 Add '-10' to each side of the equation. 10 + -10 + -4n = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -4n = -10 + -10 -4n = -10 + -10 Combine like terms: -10 + -10 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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