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Simplifying 3(3n + 4) + -2(2n + 5) = 0 Reorder the terms: 3(4 + 3n) + -2(2n + 5) = 0 (4 * 3 + 3n * 3) + -2(2n + 5) = 0 (12 + 9n) + -2(2n + 5) = 0 Reorder the terms: 12 + 9n + -2(5 + 2n) = 0 12 + 9n + (5 * -2 + 2n * -2) = 0 12 + 9n + (-10 + -4n) = 0 Reorder the terms: 12 + -10 + 9n + -4n = 0 Combine like terms: 12 + -10 = 2 2 + 9n + -4n = 0 Combine like terms: 9n + -4n = 5n 2 + 5n = 0 Solving 2 + 5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5n = 0 + -2 5n = 0 + -2 Combine like terms: 0 + -2 = -2 5n = -2 Divide each side by '5'. n = -0.4 Simplifying n = -0.4
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