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Simplifying 2(1 + -4n) = 34 + -4n (1 * 2 + -4n * 2) = 34 + -4n (2 + -8n) = 34 + -4n Solving 2 + -8n = 34 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 2 + -8n + 4n = 34 + -4n + 4n Combine like terms: -8n + 4n = -4n 2 + -4n = 34 + -4n + 4n Combine like terms: -4n + 4n = 0 2 + -4n = 34 + 0 2 + -4n = 34 Add '-2' to each side of the equation. 2 + -2 + -4n = 34 + -2 Combine like terms: 2 + -2 = 0 0 + -4n = 34 + -2 -4n = 34 + -2 Combine like terms: 34 + -2 = 32 -4n = 32 Divide each side by '-4'. n = -8 Simplifying n = -8
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