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Simplifying U = 6(8n + 31) + 7(n + 1) Reorder the terms: U = 6(31 + 8n) + 7(n + 1) U = (31 * 6 + 8n * 6) + 7(n + 1) U = (186 + 48n) + 7(n + 1) Reorder the terms: U = 186 + 48n + 7(1 + n) U = 186 + 48n + (1 * 7 + n * 7) U = 186 + 48n + (7 + 7n) Reorder the terms: U = 186 + 7 + 48n + 7n Combine like terms: 186 + 7 = 193 U = 193 + 48n + 7n Combine like terms: 48n + 7n = 55n U = 193 + 55n Solving U = 193 + 55n Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Simplifying U = 193 + 55n
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