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Simplifying 9n + 5(n + 3) = (n + 13) + -2 Reorder the terms: 9n + 5(3 + n) = (n + 13) + -2 9n + (3 * 5 + n * 5) = (n + 13) + -2 9n + (15 + 5n) = (n + 13) + -2 Reorder the terms: 15 + 9n + 5n = (n + 13) + -2 Combine like terms: 9n + 5n = 14n 15 + 14n = (n + 13) + -2 Reorder the terms: 15 + 14n = (13 + n) + -2 Remove parenthesis around (13 + n) 15 + 14n = 13 + n + -2 Reorder the terms: 15 + 14n = 13 + -2 + n Combine like terms: 13 + -2 = 11 15 + 14n = 11 + n Solving 15 + 14n = 11 + n 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. 15 + 14n + -1n = 11 + n + -1n Combine like terms: 14n + -1n = 13n 15 + 13n = 11 + n + -1n Combine like terms: n + -1n = 0 15 + 13n = 11 + 0 15 + 13n = 11 Add '-15' to each side of the equation. 15 + -15 + 13n = 11 + -15 Combine like terms: 15 + -15 = 0 0 + 13n = 11 + -15 13n = 11 + -15 Combine like terms: 11 + -15 = -4 13n = -4 Divide each side by '13'. n = -0.3076923077 Simplifying n = -0.3076923077
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