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Simplifying 6(5n + 36) + 7(n + 1) = 0 Reorder the terms: 6(36 + 5n) + 7(n + 1) = 0 (36 * 6 + 5n * 6) + 7(n + 1) = 0 (216 + 30n) + 7(n + 1) = 0 Reorder the terms: 216 + 30n + 7(1 + n) = 0 216 + 30n + (1 * 7 + n * 7) = 0 216 + 30n + (7 + 7n) = 0 Reorder the terms: 216 + 7 + 30n + 7n = 0 Combine like terms: 216 + 7 = 223 223 + 30n + 7n = 0 Combine like terms: 30n + 7n = 37n 223 + 37n = 0 Solving 223 + 37n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-223' to each side of the equation. 223 + -223 + 37n = 0 + -223 Combine like terms: 223 + -223 = 0 0 + 37n = 0 + -223 37n = 0 + -223 Combine like terms: 0 + -223 = -223 37n = -223 Divide each side by '37'. n = -6.027027027 Simplifying n = -6.027027027
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