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Simplifying 6(8n + 4) = -20 + 7n Reorder the terms: 6(4 + 8n) = -20 + 7n (4 * 6 + 8n * 6) = -20 + 7n (24 + 48n) = -20 + 7n Solving 24 + 48n = -20 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 24 + 48n + -7n = -20 + 7n + -7n Combine like terms: 48n + -7n = 41n 24 + 41n = -20 + 7n + -7n Combine like terms: 7n + -7n = 0 24 + 41n = -20 + 0 24 + 41n = -20 Add '-24' to each side of the equation. 24 + -24 + 41n = -20 + -24 Combine like terms: 24 + -24 = 0 0 + 41n = -20 + -24 41n = -20 + -24 Combine like terms: -20 + -24 = -44 41n = -44 Divide each side by '41'. n = -1.073170732 Simplifying n = -1.073170732
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