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Simplifying -4(-1 + 2n) + -2(2 + -7n) = 7n + -5n (-1 * -4 + 2n * -4) + -2(2 + -7n) = 7n + -5n (4 + -8n) + -2(2 + -7n) = 7n + -5n 4 + -8n + (2 * -2 + -7n * -2) = 7n + -5n 4 + -8n + (-4 + 14n) = 7n + -5n Reorder the terms: 4 + -4 + -8n + 14n = 7n + -5n Combine like terms: 4 + -4 = 0 0 + -8n + 14n = 7n + -5n -8n + 14n = 7n + -5n Combine like terms: -8n + 14n = 6n 6n = 7n + -5n Combine like terms: 7n + -5n = 2n 6n = 2n Solving 6n = 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. 6n + -2n = 2n + -2n Combine like terms: 6n + -2n = 4n 4n = 2n + -2n Combine like terms: 2n + -2n = 0 4n = 0 Divide each side by '4'. n = 0 Simplifying n = 0
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