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Simplifying -13 = 3(n + 1) + -2(n + 7) Reorder the terms: -13 = 3(1 + n) + -2(n + 7) -13 = (1 * 3 + n * 3) + -2(n + 7) -13 = (3 + 3n) + -2(n + 7) Reorder the terms: -13 = 3 + 3n + -2(7 + n) -13 = 3 + 3n + (7 * -2 + n * -2) -13 = 3 + 3n + (-14 + -2n) Reorder the terms: -13 = 3 + -14 + 3n + -2n Combine like terms: 3 + -14 = -11 -13 = -11 + 3n + -2n Combine like terms: 3n + -2n = 1n -13 = -11 + 1n Solving -13 = -11 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -13 + -1n = -11 + 1n + -1n Combine like terms: 1n + -1n = 0 -13 + -1n = -11 + 0 -13 + -1n = -11 Add '13' to each side of the equation. -13 + 13 + -1n = -11 + 13 Combine like terms: -13 + 13 = 0 0 + -1n = -11 + 13 -1n = -11 + 13 Combine like terms: -11 + 13 = 2 -1n = 2 Divide each side by '-1'. n = -2 Simplifying n = -2
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