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Simplifying 2(1 + 4n) = 2n + -10 (1 * 2 + 4n * 2) = 2n + -10 (2 + 8n) = 2n + -10 Reorder the terms: 2 + 8n = -10 + 2n Solving 2 + 8n = -10 + 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 = -10 + 2n + -2n Combine like terms: 8n + -2n = 6n 2 + 6n = -10 + 2n + -2n Combine like terms: 2n + -2n = 0 2 + 6n = -10 + 0 2 + 6n = -10 Add '-2' to each side of the equation. 2 + -2 + 6n = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 6n = -10 + -2 6n = -10 + -2 Combine like terms: -10 + -2 = -12 6n = -12 Divide each side by '6'. n = -2 Simplifying n = -2
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