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Simplifying U = 5(6n + 31) + 9(n + 1) Reorder the terms: U = 5(31 + 6n) + 9(n + 1) U = (31 * 5 + 6n * 5) + 9(n + 1) U = (155 + 30n) + 9(n + 1) Reorder the terms: U = 155 + 30n + 9(1 + n) U = 155 + 30n + (1 * 9 + n * 9) U = 155 + 30n + (9 + 9n) Reorder the terms: U = 155 + 9 + 30n + 9n Combine like terms: 155 + 9 = 164 U = 164 + 30n + 9n Combine like terms: 30n + 9n = 39n U = 164 + 39n Solving U = 164 + 39n Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Simplifying U = 164 + 39n
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