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Simplifying -8n + 4(1 + 5n) = 6n + -15 -8n + (1 * 4 + 5n * 4) = 6n + -15 -8n + (4 + 20n) = 6n + -15 Reorder the terms: 4 + -8n + 20n = 6n + -15 Combine like terms: -8n + 20n = 12n 4 + 12n = 6n + -15 Reorder the terms: 4 + 12n = -15 + 6n Solving 4 + 12n = -15 + 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 + 12n + -6n = -15 + 6n + -6n Combine like terms: 12n + -6n = 6n 4 + 6n = -15 + 6n + -6n Combine like terms: 6n + -6n = 0 4 + 6n = -15 + 0 4 + 6n = -15 Add '-4' to each side of the equation. 4 + -4 + 6n = -15 + -4 Combine like terms: 4 + -4 = 0 0 + 6n = -15 + -4 6n = -15 + -4 Combine like terms: -15 + -4 = -19 6n = -19 Divide each side by '6'. n = -3.166666667 Simplifying n = -3.166666667
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