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Simplifying 4(6n + 4) = 32 + 8n Reorder the terms: 4(4 + 6n) = 32 + 8n (4 * 4 + 6n * 4) = 32 + 8n (16 + 24n) = 32 + 8n Solving 16 + 24n = 32 + 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. 16 + 24n + -8n = 32 + 8n + -8n Combine like terms: 24n + -8n = 16n 16 + 16n = 32 + 8n + -8n Combine like terms: 8n + -8n = 0 16 + 16n = 32 + 0 16 + 16n = 32 Add '-16' to each side of the equation. 16 + -16 + 16n = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 16n = 32 + -16 16n = 32 + -16 Combine like terms: 32 + -16 = 16 16n = 16 Divide each side by '16'. n = 1 Simplifying n = 1
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