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Simplifying -8 + 4(1 + 5n) = 6n + -14 -8 + (1 * 4 + 5n * 4) = 6n + -14 -8 + (4 + 20n) = 6n + -14 Combine like terms: -8 + 4 = -4 -4 + 20n = 6n + -14 Reorder the terms: -4 + 20n = -14 + 6n Solving -4 + 20n = -14 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -4 + 20n + -6n = -14 + 6n + -6n Combine like terms: 20n + -6n = 14n -4 + 14n = -14 + 6n + -6n Combine like terms: 6n + -6n = 0 -4 + 14n = -14 + 0 -4 + 14n = -14 Add '4' to each side of the equation. -4 + 4 + 14n = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 14n = -14 + 4 14n = -14 + 4 Combine like terms: -14 + 4 = -10 14n = -10 Divide each side by '14'. n = -0.7142857143 Simplifying n = -0.7142857143
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