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Simplifying 4(2n + 1) = 3(5 + -1n) Reorder the terms: 4(1 + 2n) = 3(5 + -1n) (1 * 4 + 2n * 4) = 3(5 + -1n) (4 + 8n) = 3(5 + -1n) 4 + 8n = (5 * 3 + -1n * 3) 4 + 8n = (15 + -3n) Solving 4 + 8n = 15 + -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. 4 + 8n + 3n = 15 + -3n + 3n Combine like terms: 8n + 3n = 11n 4 + 11n = 15 + -3n + 3n Combine like terms: -3n + 3n = 0 4 + 11n = 15 + 0 4 + 11n = 15 Add '-4' to each side of the equation. 4 + -4 + 11n = 15 + -4 Combine like terms: 4 + -4 = 0 0 + 11n = 15 + -4 11n = 15 + -4 Combine like terms: 15 + -4 = 11 11n = 11 Divide each side by '11'. n = 1 Simplifying n = 1
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