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Simplifying 5(5 + 4n) + 7(8n + -2) = 0 (5 * 5 + 4n * 5) + 7(8n + -2) = 0 (25 + 20n) + 7(8n + -2) = 0 Reorder the terms: 25 + 20n + 7(-2 + 8n) = 0 25 + 20n + (-2 * 7 + 8n * 7) = 0 25 + 20n + (-14 + 56n) = 0 Reorder the terms: 25 + -14 + 20n + 56n = 0 Combine like terms: 25 + -14 = 11 11 + 20n + 56n = 0 Combine like terms: 20n + 56n = 76n 11 + 76n = 0 Solving 11 + 76n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 76n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 76n = 0 + -11 76n = 0 + -11 Combine like terms: 0 + -11 = -11 76n = -11 Divide each side by '76'. n = -0.1447368421 Simplifying n = -0.1447368421
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