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Simplifying 2n + -8(1 + -3n) = 174 2n + (1 * -8 + -3n * -8) = 174 2n + (-8 + 24n) = 174 Reorder the terms: -8 + 2n + 24n = 174 Combine like terms: 2n + 24n = 26n -8 + 26n = 174 Solving -8 + 26n = 174 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 26n = 174 + 8 Combine like terms: -8 + 8 = 0 0 + 26n = 174 + 8 26n = 174 + 8 Combine like terms: 174 + 8 = 182 26n = 182 Divide each side by '26'. n = 7 Simplifying n = 7
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