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Simplifying 10(2n + 4) + -6(n + -1) = 0 Reorder the terms: 10(4 + 2n) + -6(n + -1) = 0 (4 * 10 + 2n * 10) + -6(n + -1) = 0 (40 + 20n) + -6(n + -1) = 0 Reorder the terms: 40 + 20n + -6(-1 + n) = 0 40 + 20n + (-1 * -6 + n * -6) = 0 40 + 20n + (6 + -6n) = 0 Reorder the terms: 40 + 6 + 20n + -6n = 0 Combine like terms: 40 + 6 = 46 46 + 20n + -6n = 0 Combine like terms: 20n + -6n = 14n 46 + 14n = 0 Solving 46 + 14n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 14n = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 14n = 0 + -46 14n = 0 + -46 Combine like terms: 0 + -46 = -46 14n = -46 Divide each side by '14'. n = -3.285714286 Simplifying n = -3.285714286
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