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Simplifying U = 3(9n + 32) + 4(n + 1) Reorder the terms: U = 3(32 + 9n) + 4(n + 1) U = (32 * 3 + 9n * 3) + 4(n + 1) U = (96 + 27n) + 4(n + 1) Reorder the terms: U = 96 + 27n + 4(1 + n) U = 96 + 27n + (1 * 4 + n * 4) U = 96 + 27n + (4 + 4n) Reorder the terms: U = 96 + 4 + 27n + 4n Combine like terms: 96 + 4 = 100 U = 100 + 27n + 4n Combine like terms: 27n + 4n = 31n U = 100 + 31n Solving U = 100 + 31n Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Simplifying U = 100 + 31n
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