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Simplifying 3(4n + -1) + 3 = 8n + 16 Reorder the terms: 3(-1 + 4n) + 3 = 8n + 16 (-1 * 3 + 4n * 3) + 3 = 8n + 16 (-3 + 12n) + 3 = 8n + 16 Reorder the terms: -3 + 3 + 12n = 8n + 16 Combine like terms: -3 + 3 = 0 0 + 12n = 8n + 16 12n = 8n + 16 Reorder the terms: 12n = 16 + 8n Solving 12n = 16 + 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. 12n + -8n = 16 + 8n + -8n Combine like terms: 12n + -8n = 4n 4n = 16 + 8n + -8n Combine like terms: 8n + -8n = 0 4n = 16 + 0 4n = 16 Divide each side by '4'. n = 4 Simplifying n = 4
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