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Simplifying 7(U + -8) = 3(U + 14) Reorder the terms: 7(-8 + U) = 3(U + 14) (-8 * 7 + U * 7) = 3(U + 14) (-56 + 7U) = 3(U + 14) Reorder the terms: -56 + 7U = 3(14 + U) -56 + 7U = (14 * 3 + U * 3) -56 + 7U = (42 + 3U) Solving -56 + 7U = 42 + 3U Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-3U' to each side of the equation. -56 + 7U + -3U = 42 + 3U + -3U Combine like terms: 7U + -3U = 4U -56 + 4U = 42 + 3U + -3U Combine like terms: 3U + -3U = 0 -56 + 4U = 42 + 0 -56 + 4U = 42 Add '56' to each side of the equation. -56 + 56 + 4U = 42 + 56 Combine like terms: -56 + 56 = 0 0 + 4U = 42 + 56 4U = 42 + 56 Combine like terms: 42 + 56 = 98 4U = 98 Divide each side by '4'. U = 24.5 Simplifying U = 24.5
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