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Simplifying 5U + 5(1 + -1U) = 2(U + 8) 5U + (1 * 5 + -1U * 5) = 2(U + 8) 5U + (5 + -5U) = 2(U + 8) Reorder the terms: 5 + 5U + -5U = 2(U + 8) Combine like terms: 5U + -5U = 0 5 + 0 = 2(U + 8) 5 = 2(U + 8) Reorder the terms: 5 = 2(8 + U) 5 = (8 * 2 + U * 2) 5 = (16 + 2U) Solving 5 = 16 + 2U Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-2U' to each side of the equation. 5 + -2U = 16 + 2U + -2U Combine like terms: 2U + -2U = 0 5 + -2U = 16 + 0 5 + -2U = 16 Add '-5' to each side of the equation. 5 + -5 + -2U = 16 + -5 Combine like terms: 5 + -5 = 0 0 + -2U = 16 + -5 -2U = 16 + -5 Combine like terms: 16 + -5 = 11 -2U = 11 Divide each side by '-2'. U = -5.5 Simplifying U = -5.5
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