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Simplifying 7(u + -8) = (3u + 4) Reorder the terms: 7(-8 + u) = (3u + 4) (-8 * 7 + u * 7) = (3u + 4) (-56 + 7u) = (3u + 4) Reorder the terms: -56 + 7u = (4 + 3u) Remove parenthesis around (4 + 3u) -56 + 7u = 4 + 3u Solving -56 + 7u = 4 + 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 = 4 + 3u + -3u Combine like terms: 7u + -3u = 4u -56 + 4u = 4 + 3u + -3u Combine like terms: 3u + -3u = 0 -56 + 4u = 4 + 0 -56 + 4u = 4 Add '56' to each side of the equation. -56 + 56 + 4u = 4 + 56 Combine like terms: -56 + 56 = 0 0 + 4u = 4 + 56 4u = 4 + 56 Combine like terms: 4 + 56 = 60 4u = 60 Divide each side by '4'. u = 15 Simplifying u = 15
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