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Simplifying -8n + 4(1 + 5x) = 6n + -14 -8n + (1 * 4 + 5x * 4) = 6n + -14 -8n + (4 + 20x) = 6n + -14 Reorder the terms: 4 + -8n + 20x = 6n + -14 Reorder the terms: 4 + -8n + 20x = -14 + 6n Solving 4 + -8n + 20x = -14 + 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 + 20x = -14 + 6n + -6n Combine like terms: -8n + -6n = -14n 4 + -14n + 20x = -14 + 6n + -6n Combine like terms: 6n + -6n = 0 4 + -14n + 20x = -14 + 0 4 + -14n + 20x = -14 Add '-4' to each side of the equation. 4 + -14n + -4 + 20x = -14 + -4 Reorder the terms: 4 + -4 + -14n + 20x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -14n + 20x = -14 + -4 -14n + 20x = -14 + -4 Combine like terms: -14 + -4 = -18 -14n + 20x = -18 Add '-20x' to each side of the equation. -14n + 20x + -20x = -18 + -20x Combine like terms: 20x + -20x = 0 -14n + 0 = -18 + -20x -14n = -18 + -20x Divide each side by '-14'. n = 1.285714286 + 1.428571429x Simplifying n = 1.285714286 + 1.428571429x
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