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Simplifying -2n + 4(1 + 5n) = -6n + -14 -2n + (1 * 4 + 5n * 4) = -6n + -14 -2n + (4 + 20n) = -6n + -14 Reorder the terms: 4 + -2n + 20n = -6n + -14 Combine like terms: -2n + 20n = 18n 4 + 18n = -6n + -14 Reorder the terms: 4 + 18n = -14 + -6n Solving 4 + 18n = -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 + 18n + 6n = -14 + -6n + 6n Combine like terms: 18n + 6n = 24n 4 + 24n = -14 + -6n + 6n Combine like terms: -6n + 6n = 0 4 + 24n = -14 + 0 4 + 24n = -14 Add '-4' to each side of the equation. 4 + -4 + 24n = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 24n = -14 + -4 24n = -14 + -4 Combine like terms: -14 + -4 = -18 24n = -18 Divide each side by '24'. n = -0.75 Simplifying n = -0.75
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