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Simplifying -3(U + 6) + 2(4U + 5) = 0 Reorder the terms: -3(6 + U) + 2(4U + 5) = 0 (6 * -3 + U * -3) + 2(4U + 5) = 0 (-18 + -3U) + 2(4U + 5) = 0 Reorder the terms: -18 + -3U + 2(5 + 4U) = 0 -18 + -3U + (5 * 2 + 4U * 2) = 0 -18 + -3U + (10 + 8U) = 0 Reorder the terms: -18 + 10 + -3U + 8U = 0 Combine like terms: -18 + 10 = -8 -8 + -3U + 8U = 0 Combine like terms: -3U + 8U = 5U -8 + 5U = 0 Solving -8 + 5U = 0 Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5U = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5U = 0 + 8 5U = 0 + 8 Combine like terms: 0 + 8 = 8 5U = 8 Divide each side by '5'. U = 1.6 Simplifying U = 1.6
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