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Simplifying 4(U + 9) = 8U + 40 Reorder the terms: 4(9 + U) = 8U + 40 (9 * 4 + U * 4) = 8U + 40 (36 + 4U) = 8U + 40 Reorder the terms: 36 + 4U = 40 + 8U Solving 36 + 4U = 40 + 8U Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-8U' to each side of the equation. 36 + 4U + -8U = 40 + 8U + -8U Combine like terms: 4U + -8U = -4U 36 + -4U = 40 + 8U + -8U Combine like terms: 8U + -8U = 0 36 + -4U = 40 + 0 36 + -4U = 40 Add '-36' to each side of the equation. 36 + -36 + -4U = 40 + -36 Combine like terms: 36 + -36 = 0 0 + -4U = 40 + -36 -4U = 40 + -36 Combine like terms: 40 + -36 = 4 -4U = 4 Divide each side by '-4'. U = -1 Simplifying U = -1
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