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Simplifying 5(2 + n) = 2(n + 6) (2 * 5 + n * 5) = 2(n + 6) (10 + 5n) = 2(n + 6) Reorder the terms: 10 + 5n = 2(6 + n) 10 + 5n = (6 * 2 + n * 2) 10 + 5n = (12 + 2n) Solving 10 + 5n = 12 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 10 + 5n + -2n = 12 + 2n + -2n Combine like terms: 5n + -2n = 3n 10 + 3n = 12 + 2n + -2n Combine like terms: 2n + -2n = 0 10 + 3n = 12 + 0 10 + 3n = 12 Add '-10' to each side of the equation. 10 + -10 + 3n = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 3n = 12 + -10 3n = 12 + -10 Combine like terms: 12 + -10 = 2 3n = 2 Divide each side by '3'. n = 0.6666666667 Simplifying n = 0.6666666667
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