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Simplifying 9(n + 5) + 4(n + -2) = 0 Reorder the terms: 9(5 + n) + 4(n + -2) = 0 (5 * 9 + n * 9) + 4(n + -2) = 0 (45 + 9n) + 4(n + -2) = 0 Reorder the terms: 45 + 9n + 4(-2 + n) = 0 45 + 9n + (-2 * 4 + n * 4) = 0 45 + 9n + (-8 + 4n) = 0 Reorder the terms: 45 + -8 + 9n + 4n = 0 Combine like terms: 45 + -8 = 37 37 + 9n + 4n = 0 Combine like terms: 9n + 4n = 13n 37 + 13n = 0 Solving 37 + 13n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 13n = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 13n = 0 + -37 13n = 0 + -37 Combine like terms: 0 + -37 = -37 13n = -37 Divide each side by '13'. n = -2.846153846 Simplifying n = -2.846153846
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