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Simplifying -2(-1 + 4n) = 2(5 + -3n) (-1 * -2 + 4n * -2) = 2(5 + -3n) (2 + -8n) = 2(5 + -3n) 2 + -8n = (5 * 2 + -3n * 2) 2 + -8n = (10 + -6n) Solving 2 + -8n = 10 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 2 + -8n + 6n = 10 + -6n + 6n Combine like terms: -8n + 6n = -2n 2 + -2n = 10 + -6n + 6n Combine like terms: -6n + 6n = 0 2 + -2n = 10 + 0 2 + -2n = 10 Add '-2' to each side of the equation. 2 + -2 + -2n = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -2n = 10 + -2 -2n = 10 + -2 Combine like terms: 10 + -2 = 8 -2n = 8 Divide each side by '-2'. n = -4 Simplifying n = -4
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