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Simplifying 2(n + 9) + 3(n + 9) = 0 Reorder the terms: 2(9 + n) + 3(n + 9) = 0 (9 * 2 + n * 2) + 3(n + 9) = 0 (18 + 2n) + 3(n + 9) = 0 Reorder the terms: 18 + 2n + 3(9 + n) = 0 18 + 2n + (9 * 3 + n * 3) = 0 18 + 2n + (27 + 3n) = 0 Reorder the terms: 18 + 27 + 2n + 3n = 0 Combine like terms: 18 + 27 = 45 45 + 2n + 3n = 0 Combine like terms: 2n + 3n = 5n 45 + 5n = 0 Solving 45 + 5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 5n = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 5n = 0 + -45 5n = 0 + -45 Combine like terms: 0 + -45 = -45 5n = -45 Divide each side by '5'. n = -9 Simplifying n = -9
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