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Simplifying -3(n + -2) + -1 = 13 + -1(n + 1) Reorder the terms: -3(-2 + n) + -1 = 13 + -1(n + 1) (-2 * -3 + n * -3) + -1 = 13 + -1(n + 1) (6 + -3n) + -1 = 13 + -1(n + 1) Reorder the terms: 6 + -1 + -3n = 13 + -1(n + 1) Combine like terms: 6 + -1 = 5 5 + -3n = 13 + -1(n + 1) Reorder the terms: 5 + -3n = 13 + -1(1 + n) 5 + -3n = 13 + (1 * -1 + n * -1) 5 + -3n = 13 + (-1 + -1n) Combine like terms: 13 + -1 = 12 5 + -3n = 12 + -1n Solving 5 + -3n = 12 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 5 + -3n + n = 12 + -1n + n Combine like terms: -3n + n = -2n 5 + -2n = 12 + -1n + n Combine like terms: -1n + n = 0 5 + -2n = 12 + 0 5 + -2n = 12 Add '-5' to each side of the equation. 5 + -5 + -2n = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = 12 + -5 -2n = 12 + -5 Combine like terms: 12 + -5 = 7 -2n = 7 Divide each side by '-2'. n = -3.5 Simplifying n = -3.5
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