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Simplifying 2(4n + -1) = 3(n + 2) Reorder the terms: 2(-1 + 4n) = 3(n + 2) (-1 * 2 + 4n * 2) = 3(n + 2) (-2 + 8n) = 3(n + 2) Reorder the terms: -2 + 8n = 3(2 + n) -2 + 8n = (2 * 3 + n * 3) -2 + 8n = (6 + 3n) Solving -2 + 8n = 6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -2 + 8n + -3n = 6 + 3n + -3n Combine like terms: 8n + -3n = 5n -2 + 5n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 -2 + 5n = 6 + 0 -2 + 5n = 6 Add '2' to each side of the equation. -2 + 2 + 5n = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 5n = 6 + 2 5n = 6 + 2 Combine like terms: 6 + 2 = 8 5n = 8 Divide each side by '5'. n = 1.6 Simplifying n = 1.6
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