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Simplifying 6(n + 2) = 4(n + 5) Reorder the terms: 6(2 + n) = 4(n + 5) (2 * 6 + n * 6) = 4(n + 5) (12 + 6n) = 4(n + 5) Reorder the terms: 12 + 6n = 4(5 + n) 12 + 6n = (5 * 4 + n * 4) 12 + 6n = (20 + 4n) Solving 12 + 6n = 20 + 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. 12 + 6n + -4n = 20 + 4n + -4n Combine like terms: 6n + -4n = 2n 12 + 2n = 20 + 4n + -4n Combine like terms: 4n + -4n = 0 12 + 2n = 20 + 0 12 + 2n = 20 Add '-12' to each side of the equation. 12 + -12 + 2n = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 2n = 20 + -12 2n = 20 + -12 Combine like terms: 20 + -12 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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