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Simplifying 5(n + 3) + 7(n + 6) = 0 Reorder the terms: 5(3 + n) + 7(n + 6) = 0 (3 * 5 + n * 5) + 7(n + 6) = 0 (15 + 5n) + 7(n + 6) = 0 Reorder the terms: 15 + 5n + 7(6 + n) = 0 15 + 5n + (6 * 7 + n * 7) = 0 15 + 5n + (42 + 7n) = 0 Reorder the terms: 15 + 42 + 5n + 7n = 0 Combine like terms: 15 + 42 = 57 57 + 5n + 7n = 0 Combine like terms: 5n + 7n = 12n 57 + 12n = 0 Solving 57 + 12n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 12n = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 12n = 0 + -57 12n = 0 + -57 Combine like terms: 0 + -57 = -57 12n = -57 Divide each side by '12'. n = -4.75 Simplifying n = -4.75
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