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Simplifying 7(n + 6) + 4(n + 4) = 0 Reorder the terms: 7(6 + n) + 4(n + 4) = 0 (6 * 7 + n * 7) + 4(n + 4) = 0 (42 + 7n) + 4(n + 4) = 0 Reorder the terms: 42 + 7n + 4(4 + n) = 0 42 + 7n + (4 * 4 + n * 4) = 0 42 + 7n + (16 + 4n) = 0 Reorder the terms: 42 + 16 + 7n + 4n = 0 Combine like terms: 42 + 16 = 58 58 + 7n + 4n = 0 Combine like terms: 7n + 4n = 11n 58 + 11n = 0 Solving 58 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + 11n = 0 + -58 Combine like terms: 58 + -58 = 0 0 + 11n = 0 + -58 11n = 0 + -58 Combine like terms: 0 + -58 = -58 11n = -58 Divide each side by '11'. n = -5.272727273 Simplifying n = -5.272727273
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