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Simplifying 4(7n + 35) + 9(n + 1) = 0 Reorder the terms: 4(35 + 7n) + 9(n + 1) = 0 (35 * 4 + 7n * 4) + 9(n + 1) = 0 (140 + 28n) + 9(n + 1) = 0 Reorder the terms: 140 + 28n + 9(1 + n) = 0 140 + 28n + (1 * 9 + n * 9) = 0 140 + 28n + (9 + 9n) = 0 Reorder the terms: 140 + 9 + 28n + 9n = 0 Combine like terms: 140 + 9 = 149 149 + 28n + 9n = 0 Combine like terms: 28n + 9n = 37n 149 + 37n = 0 Solving 149 + 37n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-149' to each side of the equation. 149 + -149 + 37n = 0 + -149 Combine like terms: 149 + -149 = 0 0 + 37n = 0 + -149 37n = 0 + -149 Combine like terms: 0 + -149 = -149 37n = -149 Divide each side by '37'. n = -4.027027027 Simplifying n = -4.027027027
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