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Simplifying 7(3n + 35) + 9(n + 1) = 0 Reorder the terms: 7(35 + 3n) + 9(n + 1) = 0 (35 * 7 + 3n * 7) + 9(n + 1) = 0 (245 + 21n) + 9(n + 1) = 0 Reorder the terms: 245 + 21n + 9(1 + n) = 0 245 + 21n + (1 * 9 + n * 9) = 0 245 + 21n + (9 + 9n) = 0 Reorder the terms: 245 + 9 + 21n + 9n = 0 Combine like terms: 245 + 9 = 254 254 + 21n + 9n = 0 Combine like terms: 21n + 9n = 30n 254 + 30n = 0 Solving 254 + 30n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-254' to each side of the equation. 254 + -254 + 30n = 0 + -254 Combine like terms: 254 + -254 = 0 0 + 30n = 0 + -254 30n = 0 + -254 Combine like terms: 0 + -254 = -254 30n = -254 Divide each side by '30'. n = -8.466666667 Simplifying n = -8.466666667
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