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Simplifying 2(3n + 4) = 8n + 24 Reorder the terms: 2(4 + 3n) = 8n + 24 (4 * 2 + 3n * 2) = 8n + 24 (8 + 6n) = 8n + 24 Reorder the terms: 8 + 6n = 24 + 8n Solving 8 + 6n = 24 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 8 + 6n + -8n = 24 + 8n + -8n Combine like terms: 6n + -8n = -2n 8 + -2n = 24 + 8n + -8n Combine like terms: 8n + -8n = 0 8 + -2n = 24 + 0 8 + -2n = 24 Add '-8' to each side of the equation. 8 + -8 + -2n = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = 24 + -8 -2n = 24 + -8 Combine like terms: 24 + -8 = 16 -2n = 16 Divide each side by '-2'. n = -8 Simplifying n = -8
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