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Simplifying 5(10 + 2n) + -6 + 4n = 0 (10 * 5 + 2n * 5) + -6 + 4n = 0 (50 + 10n) + -6 + 4n = 0 Reorder the terms: 50 + -6 + 10n + 4n = 0 Combine like terms: 50 + -6 = 44 44 + 10n + 4n = 0 Combine like terms: 10n + 4n = 14n 44 + 14n = 0 Solving 44 + 14n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 14n = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 14n = 0 + -44 14n = 0 + -44 Combine like terms: 0 + -44 = -44 14n = -44 Divide each side by '14'. n = -3.142857143 Simplifying n = -3.142857143
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