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Simplifying -13 = 5(1 + n) + -2n -13 = (1 * 5 + n * 5) + -2n -13 = (5 + 5n) + -2n Combine like terms: 5n + -2n = 3n -13 = 5 + 3n Solving -13 = 5 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -13 + -3n = 5 + 3n + -3n Combine like terms: 3n + -3n = 0 -13 + -3n = 5 + 0 -13 + -3n = 5 Add '13' to each side of the equation. -13 + 13 + -3n = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -3n = 5 + 13 -3n = 5 + 13 Combine like terms: 5 + 13 = 18 -3n = 18 Divide each side by '-3'. n = -6 Simplifying n = -6
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