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Simplifying -8x + 4(1 + 5n) = -6 + -14 -8x + (1 * 4 + 5n * 4) = -6 + -14 -8x + (4 + 20n) = -6 + -14 Reorder the terms: 4 + 20n + -8x = -6 + -14 Combine like terms: -6 + -14 = -20 4 + 20n + -8x = -20 Solving 4 + 20n + -8x = -20 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 20n + -4 + -8x = -20 + -4 Reorder the terms: 4 + -4 + 20n + -8x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 20n + -8x = -20 + -4 20n + -8x = -20 + -4 Combine like terms: -20 + -4 = -24 20n + -8x = -24 Add '8x' to each side of the equation. 20n + -8x + 8x = -24 + 8x Combine like terms: -8x + 8x = 0 20n + 0 = -24 + 8x 20n = -24 + 8x Divide each side by '20'. n = -1.2 + 0.4x Simplifying n = -1.2 + 0.4x
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