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Simplifying 2(4n + -1) = 3(2n + 5) Reorder the terms: 2(-1 + 4n) = 3(2n + 5) (-1 * 2 + 4n * 2) = 3(2n + 5) (-2 + 8n) = 3(2n + 5) Reorder the terms: -2 + 8n = 3(5 + 2n) -2 + 8n = (5 * 3 + 2n * 3) -2 + 8n = (15 + 6n) Solving -2 + 8n = 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. -2 + 8n + -6n = 15 + 6n + -6n Combine like terms: 8n + -6n = 2n -2 + 2n = 15 + 6n + -6n Combine like terms: 6n + -6n = 0 -2 + 2n = 15 + 0 -2 + 2n = 15 Add '2' to each side of the equation. -2 + 2 + 2n = 15 + 2 Combine like terms: -2 + 2 = 0 0 + 2n = 15 + 2 2n = 15 + 2 Combine like terms: 15 + 2 = 17 2n = 17 Divide each side by '2'. n = 8.5 Simplifying n = 8.5
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