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Simplifying (3 + -4)(8n + -4) = -3(1 + -2n) Combine like terms: 3 + -4 = -1 (-1)(8n + -4) = -3(1 + -2n) Reorder the terms: -1(-4 + 8n) = -3(1 + -2n) (-4 * -1 + 8n * -1) = -3(1 + -2n) (4 + -8n) = -3(1 + -2n) 4 + -8n = (1 * -3 + -2n * -3) 4 + -8n = (-3 + 6n) Solving 4 + -8n = -3 + 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. 4 + -8n + -6n = -3 + 6n + -6n Combine like terms: -8n + -6n = -14n 4 + -14n = -3 + 6n + -6n Combine like terms: 6n + -6n = 0 4 + -14n = -3 + 0 4 + -14n = -3 Add '-4' to each side of the equation. 4 + -4 + -14n = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -14n = -3 + -4 -14n = -3 + -4 Combine like terms: -3 + -4 = -7 -14n = -7 Divide each side by '-14'. n = 0.5 Simplifying n = 0.5
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