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Simplifying 4(1 + 5n) = 2n + -14 (1 * 4 + 5n * 4) = 2n + -14 (4 + 20n) = 2n + -14 Reorder the terms: 4 + 20n = -14 + 2n Solving 4 + 20n = -14 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 4 + 20n + -2n = -14 + 2n + -2n Combine like terms: 20n + -2n = 18n 4 + 18n = -14 + 2n + -2n Combine like terms: 2n + -2n = 0 4 + 18n = -14 + 0 4 + 18n = -14 Add '-4' to each side of the equation. 4 + -4 + 18n = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 18n = -14 + -4 18n = -14 + -4 Combine like terms: -14 + -4 = -18 18n = -18 Divide each side by '18'. n = -1 Simplifying n = -1
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