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Simplifying -8 + 4(1 + 5n) = -6n + 14 -8 + (1 * 4 + 5n * 4) = -6n + 14 -8 + (4 + 20n) = -6n + 14 Combine like terms: -8 + 4 = -4 -4 + 20n = -6n + 14 Reorder the terms: -4 + 20n = 14 + -6n Solving -4 + 20n = 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 + 20n + 6n = 14 + -6n + 6n Combine like terms: 20n + 6n = 26n -4 + 26n = 14 + -6n + 6n Combine like terms: -6n + 6n = 0 -4 + 26n = 14 + 0 -4 + 26n = 14 Add '4' to each side of the equation. -4 + 4 + 26n = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 26n = 14 + 4 26n = 14 + 4 Combine like terms: 14 + 4 = 18 26n = 18 Divide each side by '26'. n = 0.6923076923 Simplifying n = 0.6923076923
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