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Simplifying U = 3(8n + 31) + 8(n + 1) Reorder the terms: U = 3(31 + 8n) + 8(n + 1) U = (31 * 3 + 8n * 3) + 8(n + 1) U = (93 + 24n) + 8(n + 1) Reorder the terms: U = 93 + 24n + 8(1 + n) U = 93 + 24n + (1 * 8 + n * 8) U = 93 + 24n + (8 + 8n) Reorder the terms: U = 93 + 8 + 24n + 8n Combine like terms: 93 + 8 = 101 U = 101 + 24n + 8n Combine like terms: 24n + 8n = 32n U = 101 + 32n Solving U = 101 + 32n Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Simplifying U = 101 + 32n
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