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Simplifying 10(2n + 4) + 5(3n + 3) = 0 Reorder the terms: 10(4 + 2n) + 5(3n + 3) = 0 (4 * 10 + 2n * 10) + 5(3n + 3) = 0 (40 + 20n) + 5(3n + 3) = 0 Reorder the terms: 40 + 20n + 5(3 + 3n) = 0 40 + 20n + (3 * 5 + 3n * 5) = 0 40 + 20n + (15 + 15n) = 0 Reorder the terms: 40 + 15 + 20n + 15n = 0 Combine like terms: 40 + 15 = 55 55 + 20n + 15n = 0 Combine like terms: 20n + 15n = 35n 55 + 35n = 0 Solving 55 + 35n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 35n = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 35n = 0 + -55 35n = 0 + -55 Combine like terms: 0 + -55 = -55 35n = -55 Divide each side by '35'. n = -1.571428571 Simplifying n = -1.571428571
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