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Simplifying 4(3 + n) = 4(6 + 2n) (3 * 4 + n * 4) = 4(6 + 2n) (12 + 4n) = 4(6 + 2n) 12 + 4n = (6 * 4 + 2n * 4) 12 + 4n = (24 + 8n) Solving 12 + 4n = 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. 12 + 4n + -8n = 24 + 8n + -8n Combine like terms: 4n + -8n = -4n 12 + -4n = 24 + 8n + -8n Combine like terms: 8n + -8n = 0 12 + -4n = 24 + 0 12 + -4n = 24 Add '-12' to each side of the equation. 12 + -12 + -4n = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -4n = 24 + -12 -4n = 24 + -12 Combine like terms: 24 + -12 = 12 -4n = 12 Divide each side by '-4'. n = -3 Simplifying n = -3
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