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Simplifying -7(u + -8) = 3(u + 4) Reorder the terms: -7(-8 + u) = 3(u + 4) (-8 * -7 + u * -7) = 3(u + 4) (56 + -7u) = 3(u + 4) Reorder the terms: 56 + -7u = 3(4 + u) 56 + -7u = (4 * 3 + u * 3) 56 + -7u = (12 + 3u) Solving 56 + -7u = 12 + 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 = 12 + 3u + -3u Combine like terms: -7u + -3u = -10u 56 + -10u = 12 + 3u + -3u Combine like terms: 3u + -3u = 0 56 + -10u = 12 + 0 56 + -10u = 12 Add '-56' to each side of the equation. 56 + -56 + -10u = 12 + -56 Combine like terms: 56 + -56 = 0 0 + -10u = 12 + -56 -10u = 12 + -56 Combine like terms: 12 + -56 = -44 -10u = -44 Divide each side by '-10'. u = 4.4 Simplifying u = 4.4
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