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Simplifying 3(4n + 1) = 35 + 4n Reorder the terms: 3(1 + 4n) = 35 + 4n (1 * 3 + 4n * 3) = 35 + 4n (3 + 12n) = 35 + 4n Solving 3 + 12n = 35 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 3 + 12n + -4n = 35 + 4n + -4n Combine like terms: 12n + -4n = 8n 3 + 8n = 35 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + 8n = 35 + 0 3 + 8n = 35 Add '-3' to each side of the equation. 3 + -3 + 8n = 35 + -3 Combine like terms: 3 + -3 = 0 0 + 8n = 35 + -3 8n = 35 + -3 Combine like terms: 35 + -3 = 32 8n = 32 Divide each side by '8'. n = 4 Simplifying n = 4
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