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Simplifying 4(2n + 1) = -4n + 8 + 7n Reorder the terms: 4(1 + 2n) = -4n + 8 + 7n (1 * 4 + 2n * 4) = -4n + 8 + 7n (4 + 8n) = -4n + 8 + 7n Reorder the terms: 4 + 8n = 8 + -4n + 7n Combine like terms: -4n + 7n = 3n 4 + 8n = 8 + 3n Solving 4 + 8n = 8 + 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 = 8 + 3n + -3n Combine like terms: 8n + -3n = 5n 4 + 5n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + 5n = 8 + 0 4 + 5n = 8 Add '-4' to each side of the equation. 4 + -4 + 5n = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 5n = 8 + -4 5n = 8 + -4 Combine like terms: 8 + -4 = 4 5n = 4 Divide each side by '5'. n = 0.8 Simplifying n = 0.8
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