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Simplifying 2(1 + 4n) = -10 + 4n (1 * 2 + 4n * 2) = -10 + 4n (2 + 8n) = -10 + 4n Solving 2 + 8n = -10 + 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 = -10 + 4n + -4n Combine like terms: 8n + -4n = 4n 2 + 4n = -10 + 4n + -4n Combine like terms: 4n + -4n = 0 2 + 4n = -10 + 0 2 + 4n = -10 Add '-2' to each side of the equation. 2 + -2 + 4n = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 4n = -10 + -2 4n = -10 + -2 Combine like terms: -10 + -2 = -12 4n = -12 Divide each side by '4'. n = -3 Simplifying n = -3
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