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Simplifying 7(u + -7) = 4u + -43 Reorder the terms: 7(-7 + u) = 4u + -43 (-7 * 7 + u * 7) = 4u + -43 (-49 + 7u) = 4u + -43 Reorder the terms: -49 + 7u = -43 + 4u Solving -49 + 7u = -43 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -49 + 7u + -4u = -43 + 4u + -4u Combine like terms: 7u + -4u = 3u -49 + 3u = -43 + 4u + -4u Combine like terms: 4u + -4u = 0 -49 + 3u = -43 + 0 -49 + 3u = -43 Add '49' to each side of the equation. -49 + 49 + 3u = -43 + 49 Combine like terms: -49 + 49 = 0 0 + 3u = -43 + 49 3u = -43 + 49 Combine like terms: -43 + 49 = 6 3u = 6 Divide each side by '3'. u = 2 Simplifying u = 2
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