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Simplifying 4(3 + 5n) + 9(n + 2) = 0 (3 * 4 + 5n * 4) + 9(n + 2) = 0 (12 + 20n) + 9(n + 2) = 0 Reorder the terms: 12 + 20n + 9(2 + n) = 0 12 + 20n + (2 * 9 + n * 9) = 0 12 + 20n + (18 + 9n) = 0 Reorder the terms: 12 + 18 + 20n + 9n = 0 Combine like terms: 12 + 18 = 30 30 + 20n + 9n = 0 Combine like terms: 20n + 9n = 29n 30 + 29n = 0 Solving 30 + 29n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 29n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 29n = 0 + -30 29n = 0 + -30 Combine like terms: 0 + -30 = -30 29n = -30 Divide each side by '29'. n = -1.034482759 Simplifying n = -1.034482759
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