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Simplifying -3(n + -7) + 8(5n + 6) = 32 Reorder the terms: -3(-7 + n) + 8(5n + 6) = 32 (-7 * -3 + n * -3) + 8(5n + 6) = 32 (21 + -3n) + 8(5n + 6) = 32 Reorder the terms: 21 + -3n + 8(6 + 5n) = 32 21 + -3n + (6 * 8 + 5n * 8) = 32 21 + -3n + (48 + 40n) = 32 Reorder the terms: 21 + 48 + -3n + 40n = 32 Combine like terms: 21 + 48 = 69 69 + -3n + 40n = 32 Combine like terms: -3n + 40n = 37n 69 + 37n = 32 Solving 69 + 37n = 32 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 37n = 32 + -69 Combine like terms: 69 + -69 = 0 0 + 37n = 32 + -69 37n = 32 + -69 Combine like terms: 32 + -69 = -37 37n = -37 Divide each side by '37'. n = -1 Simplifying n = -1
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