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Simplifying 2(1 + -4n) = -34 + -2n (1 * 2 + -4n * 2) = -34 + -2n (2 + -8n) = -34 + -2n Solving 2 + -8n = -34 + -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. 2 + -8n + 2n = -34 + -2n + 2n Combine like terms: -8n + 2n = -6n 2 + -6n = -34 + -2n + 2n Combine like terms: -2n + 2n = 0 2 + -6n = -34 + 0 2 + -6n = -34 Add '-2' to each side of the equation. 2 + -2 + -6n = -34 + -2 Combine like terms: 2 + -2 = 0 0 + -6n = -34 + -2 -6n = -34 + -2 Combine like terms: -34 + -2 = -36 -6n = -36 Divide each side by '-6'. n = 6 Simplifying n = 6
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