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Simplifying 3(n + 7) + 2(n + 8) = 0 Reorder the terms: 3(7 + n) + 2(n + 8) = 0 (7 * 3 + n * 3) + 2(n + 8) = 0 (21 + 3n) + 2(n + 8) = 0 Reorder the terms: 21 + 3n + 2(8 + n) = 0 21 + 3n + (8 * 2 + n * 2) = 0 21 + 3n + (16 + 2n) = 0 Reorder the terms: 21 + 16 + 3n + 2n = 0 Combine like terms: 21 + 16 = 37 37 + 3n + 2n = 0 Combine like terms: 3n + 2n = 5n 37 + 5n = 0 Solving 37 + 5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 5n = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 5n = 0 + -37 5n = 0 + -37 Combine like terms: 0 + -37 = -37 5n = -37 Divide each side by '5'. n = -7.4 Simplifying n = -7.4
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