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Simplifying 20(n + 3) = 4(n + 51) Reorder the terms: 20(3 + n) = 4(n + 51) (3 * 20 + n * 20) = 4(n + 51) (60 + 20n) = 4(n + 51) Reorder the terms: 60 + 20n = 4(51 + n) 60 + 20n = (51 * 4 + n * 4) 60 + 20n = (204 + 4n) Solving 60 + 20n = 204 + 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. 60 + 20n + -4n = 204 + 4n + -4n Combine like terms: 20n + -4n = 16n 60 + 16n = 204 + 4n + -4n Combine like terms: 4n + -4n = 0 60 + 16n = 204 + 0 60 + 16n = 204 Add '-60' to each side of the equation. 60 + -60 + 16n = 204 + -60 Combine like terms: 60 + -60 = 0 0 + 16n = 204 + -60 16n = 204 + -60 Combine like terms: 204 + -60 = 144 16n = 144 Divide each side by '16'. n = 9 Simplifying n = 9
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