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Simplifying 2(4n + 6) = 4(3n + 5) Reorder the terms: 2(6 + 4n) = 4(3n + 5) (6 * 2 + 4n * 2) = 4(3n + 5) (12 + 8n) = 4(3n + 5) Reorder the terms: 12 + 8n = 4(5 + 3n) 12 + 8n = (5 * 4 + 3n * 4) 12 + 8n = (20 + 12n) Solving 12 + 8n = 20 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 12 + 8n + -12n = 20 + 12n + -12n Combine like terms: 8n + -12n = -4n 12 + -4n = 20 + 12n + -12n Combine like terms: 12n + -12n = 0 12 + -4n = 20 + 0 12 + -4n = 20 Add '-12' to each side of the equation. 12 + -12 + -4n = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -4n = 20 + -12 -4n = 20 + -12 Combine like terms: 20 + -12 = 8 -4n = 8 Divide each side by '-4'. n = -2 Simplifying n = -2
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