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Simplifying 149 = 5(1 + -4n) + 2n 149 = (1 * 5 + -4n * 5) + 2n 149 = (5 + -20n) + 2n Combine like terms: -20n + 2n = -18n 149 = 5 + -18n Solving 149 = 5 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. 149 + 18n = 5 + -18n + 18n Combine like terms: -18n + 18n = 0 149 + 18n = 5 + 0 149 + 18n = 5 Add '-149' to each side of the equation. 149 + -149 + 18n = 5 + -149 Combine like terms: 149 + -149 = 0 0 + 18n = 5 + -149 18n = 5 + -149 Combine like terms: 5 + -149 = -144 18n = -144 Divide each side by '18'. n = -8 Simplifying n = -8
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