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Simplifying 10(2n + 4) + 5(3n + 15) = 0 Reorder the terms: 10(4 + 2n) + 5(3n + 15) = 0 (4 * 10 + 2n * 10) + 5(3n + 15) = 0 (40 + 20n) + 5(3n + 15) = 0 Reorder the terms: 40 + 20n + 5(15 + 3n) = 0 40 + 20n + (15 * 5 + 3n * 5) = 0 40 + 20n + (75 + 15n) = 0 Reorder the terms: 40 + 75 + 20n + 15n = 0 Combine like terms: 40 + 75 = 115 115 + 20n + 15n = 0 Combine like terms: 20n + 15n = 35n 115 + 35n = 0 Solving 115 + 35n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-115' to each side of the equation. 115 + -115 + 35n = 0 + -115 Combine like terms: 115 + -115 = 0 0 + 35n = 0 + -115 35n = 0 + -115 Combine like terms: 0 + -115 = -115 35n = -115 Divide each side by '35'. n = -3.285714286 Simplifying n = -3.285714286
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