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Simplifying 5(n + 4) = 2(n + 16) Reorder the terms: 5(4 + n) = 2(n + 16) (4 * 5 + n * 5) = 2(n + 16) (20 + 5n) = 2(n + 16) Reorder the terms: 20 + 5n = 2(16 + n) 20 + 5n = (16 * 2 + n * 2) 20 + 5n = (32 + 2n) Solving 20 + 5n = 32 + 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. 20 + 5n + -2n = 32 + 2n + -2n Combine like terms: 5n + -2n = 3n 20 + 3n = 32 + 2n + -2n Combine like terms: 2n + -2n = 0 20 + 3n = 32 + 0 20 + 3n = 32 Add '-20' to each side of the equation. 20 + -20 + 3n = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 3n = 32 + -20 3n = 32 + -20 Combine like terms: 32 + -20 = 12 3n = 12 Divide each side by '3'. n = 4 Simplifying n = 4
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