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Simplifying 9n + 5(n + 3) = -1(n + 13) + -2 Reorder the terms: 9n + 5(3 + n) = -1(n + 13) + -2 9n + (3 * 5 + n * 5) = -1(n + 13) + -2 9n + (15 + 5n) = -1(n + 13) + -2 Reorder the terms: 15 + 9n + 5n = -1(n + 13) + -2 Combine like terms: 9n + 5n = 14n 15 + 14n = -1(n + 13) + -2 Reorder the terms: 15 + 14n = -1(13 + n) + -2 15 + 14n = (13 * -1 + n * -1) + -2 15 + 14n = (-13 + -1n) + -2 Reorder the terms: 15 + 14n = -13 + -2 + -1n Combine like terms: -13 + -2 = -15 15 + 14n = -15 + -1n Solving 15 + 14n = -15 + -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 = -15 + -1n + n Combine like terms: 14n + n = 15n 15 + 15n = -15 + -1n + n Combine like terms: -1n + n = 0 15 + 15n = -15 + 0 15 + 15n = -15 Add '-15' to each side of the equation. 15 + -15 + 15n = -15 + -15 Combine like terms: 15 + -15 = 0 0 + 15n = -15 + -15 15n = -15 + -15 Combine like terms: -15 + -15 = -30 15n = -30 Divide each side by '15'. n = -2 Simplifying n = -2
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