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Simplifying 3(n + 2) + 4(n + 3) = 0 Reorder the terms: 3(2 + n) + 4(n + 3) = 0 (2 * 3 + n * 3) + 4(n + 3) = 0 (6 + 3n) + 4(n + 3) = 0 Reorder the terms: 6 + 3n + 4(3 + n) = 0 6 + 3n + (3 * 4 + n * 4) = 0 6 + 3n + (12 + 4n) = 0 Reorder the terms: 6 + 12 + 3n + 4n = 0 Combine like terms: 6 + 12 = 18 18 + 3n + 4n = 0 Combine like terms: 3n + 4n = 7n 18 + 7n = 0 Solving 18 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 7n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 7n = 0 + -18 7n = 0 + -18 Combine like terms: 0 + -18 = -18 7n = -18 Divide each side by '7'. n = -2.571428571 Simplifying n = -2.571428571
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