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