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Simplifying 8(1 + n) = 2(8 + n) + 4 (1 * 8 + n * 8) = 2(8 + n) + 4 (8 + 8n) = 2(8 + n) + 4 8 + 8n = (8 * 2 + n * 2) + 4 8 + 8n = (16 + 2n) + 4 Reorder the terms: 8 + 8n = 16 + 4 + 2n Combine like terms: 16 + 4 = 20 8 + 8n = 20 + 2n Solving 8 + 8n = 20 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 8 + 8n + -2n = 20 + 2n + -2n Combine like terms: 8n + -2n = 6n 8 + 6n = 20 + 2n + -2n Combine like terms: 2n + -2n = 0 8 + 6n = 20 + 0 8 + 6n = 20 Add '-8' to each side of the equation. 8 + -8 + 6n = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 6n = 20 + -8 6n = 20 + -8 Combine like terms: 20 + -8 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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