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Simplifying 5(n + 8) + -1(9 + -9n) = 13n Reorder the terms: 5(8 + n) + -1(9 + -9n) = 13n (8 * 5 + n * 5) + -1(9 + -9n) = 13n (40 + 5n) + -1(9 + -9n) = 13n 40 + 5n + (9 * -1 + -9n * -1) = 13n 40 + 5n + (-9 + 9n) = 13n Reorder the terms: 40 + -9 + 5n + 9n = 13n Combine like terms: 40 + -9 = 31 31 + 5n + 9n = 13n Combine like terms: 5n + 9n = 14n 31 + 14n = 13n Solving 31 + 14n = 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. 31 + 14n + -13n = 13n + -13n Combine like terms: 14n + -13n = 1n 31 + 1n = 13n + -13n Combine like terms: 13n + -13n = 0 31 + 1n = 0 Add '-31' to each side of the equation. 31 + -31 + 1n = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 1n = 0 + -31 1n = 0 + -31 Combine like terms: 0 + -31 = -31 1n = -31 Divide each side by '1'. n = -31 Simplifying n = -31
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