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Simplifying 3n + -2(-2 + -7n) = 4(1 + -8n) 3n + (-2 * -2 + -7n * -2) = 4(1 + -8n) 3n + (4 + 14n) = 4(1 + -8n) Reorder the terms: 4 + 3n + 14n = 4(1 + -8n) Combine like terms: 3n + 14n = 17n 4 + 17n = 4(1 + -8n) 4 + 17n = (1 * 4 + -8n * 4) 4 + 17n = (4 + -32n) Add '-4' to each side of the equation. 4 + -4 + 17n = 4 + -4 + -32n Combine like terms: 4 + -4 = 0 0 + 17n = 4 + -4 + -32n 17n = 4 + -4 + -32n Combine like terms: 4 + -4 = 0 17n = 0 + -32n 17n = -32n Solving 17n = -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. 17n + 32n = -32n + 32n Combine like terms: 17n + 32n = 49n 49n = -32n + 32n Combine like terms: -32n + 32n = 0 49n = 0 Divide each side by '49'. n = 0 Simplifying n = 0
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