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Simplifying 32 = 6(U + 8) + -8U Reorder the terms: 32 = 6(8 + U) + -8U 32 = (8 * 6 + U * 6) + -8U 32 = (48 + 6U) + -8U Combine like terms: 6U + -8U = -2U 32 = 48 + -2U Solving 32 = 48 + -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. 32 + 2U = 48 + -2U + 2U Combine like terms: -2U + 2U = 0 32 + 2U = 48 + 0 32 + 2U = 48 Add '-32' to each side of the equation. 32 + -32 + 2U = 48 + -32 Combine like terms: 32 + -32 = 0 0 + 2U = 48 + -32 2U = 48 + -32 Combine like terms: 48 + -32 = 16 2U = 16 Divide each side by '2'. U = 8 Simplifying U = 8
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