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Simplifying -1 + 5(4n + 3) = 2(4n + -5) + 6 Reorder the terms: -1 + 5(3 + 4n) = 2(4n + -5) + 6 -1 + (3 * 5 + 4n * 5) = 2(4n + -5) + 6 -1 + (15 + 20n) = 2(4n + -5) + 6 Combine like terms: -1 + 15 = 14 14 + 20n = 2(4n + -5) + 6 Reorder the terms: 14 + 20n = 2(-5 + 4n) + 6 14 + 20n = (-5 * 2 + 4n * 2) + 6 14 + 20n = (-10 + 8n) + 6 Reorder the terms: 14 + 20n = -10 + 6 + 8n Combine like terms: -10 + 6 = -4 14 + 20n = -4 + 8n Solving 14 + 20n = -4 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 14 + 20n + -8n = -4 + 8n + -8n Combine like terms: 20n + -8n = 12n 14 + 12n = -4 + 8n + -8n Combine like terms: 8n + -8n = 0 14 + 12n = -4 + 0 14 + 12n = -4 Add '-14' to each side of the equation. 14 + -14 + 12n = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 12n = -4 + -14 12n = -4 + -14 Combine like terms: -4 + -14 = -18 12n = -18 Divide each side by '12'. n = -1.5 Simplifying n = -1.5
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