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Simplifying (4n + 1) * 5 = (2n + -4) Reorder the terms: (1 + 4n) * 5 = (2n + -4) Reorder the terms for easier multiplication: 5(1 + 4n) = (2n + -4) (1 * 5 + 4n * 5) = (2n + -4) (5 + 20n) = (2n + -4) Reorder the terms: 5 + 20n = (-4 + 2n) Remove parenthesis around (-4 + 2n) 5 + 20n = -4 + 2n Solving 5 + 20n = -4 + 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. 5 + 20n + -2n = -4 + 2n + -2n Combine like terms: 20n + -2n = 18n 5 + 18n = -4 + 2n + -2n Combine like terms: 2n + -2n = 0 5 + 18n = -4 + 0 5 + 18n = -4 Add '-5' to each side of the equation. 5 + -5 + 18n = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 18n = -4 + -5 18n = -4 + -5 Combine like terms: -4 + -5 = -9 18n = -9 Divide each side by '18'. n = -0.5 Simplifying n = -0.5
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