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Simplifying 4(n + 5) + 3(n + 3) = 0 Reorder the terms: 4(5 + n) + 3(n + 3) = 0 (5 * 4 + n * 4) + 3(n + 3) = 0 (20 + 4n) + 3(n + 3) = 0 Reorder the terms: 20 + 4n + 3(3 + n) = 0 20 + 4n + (3 * 3 + n * 3) = 0 20 + 4n + (9 + 3n) = 0 Reorder the terms: 20 + 9 + 4n + 3n = 0 Combine like terms: 20 + 9 = 29 29 + 4n + 3n = 0 Combine like terms: 4n + 3n = 7n 29 + 7n = 0 Solving 29 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 7n = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 7n = 0 + -29 7n = 0 + -29 Combine like terms: 0 + -29 = -29 7n = -29 Divide each side by '7'. n = -4.142857143 Simplifying n = -4.142857143
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