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Simplifying 9n + 5(n + 3) = -1(n + 13) Reorder the terms: 9n + 5(3 + n) = -1(n + 13) 9n + (3 * 5 + n * 5) = -1(n + 13) 9n + (15 + 5n) = -1(n + 13) Reorder the terms: 15 + 9n + 5n = -1(n + 13) Combine like terms: 9n + 5n = 14n 15 + 14n = -1(n + 13) Reorder the terms: 15 + 14n = -1(13 + n) 15 + 14n = (13 * -1 + n * -1) 15 + 14n = (-13 + -1n) Solving 15 + 14n = -13 + -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. 15 + 14n + n = -13 + -1n + n Combine like terms: 14n + n = 15n 15 + 15n = -13 + -1n + n Combine like terms: -1n + n = 0 15 + 15n = -13 + 0 15 + 15n = -13 Add '-15' to each side of the equation. 15 + -15 + 15n = -13 + -15 Combine like terms: 15 + -15 = 0 0 + 15n = -13 + -15 15n = -13 + -15 Combine like terms: -13 + -15 = -28 15n = -28 Divide each side by '15'. n = -1.866666667 Simplifying n = -1.866666667
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