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Simplifying -7 = 5(u + -5) + -2u Reorder the terms: -7 = 5(-5 + u) + -2u -7 = (-5 * 5 + u * 5) + -2u -7 = (-25 + 5u) + -2u Combine like terms: 5u + -2u = 3u -7 = -25 + 3u Solving -7 = -25 + 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. -7 + -3u = -25 + 3u + -3u Combine like terms: 3u + -3u = 0 -7 + -3u = -25 + 0 -7 + -3u = -25 Add '7' to each side of the equation. -7 + 7 + -3u = -25 + 7 Combine like terms: -7 + 7 = 0 0 + -3u = -25 + 7 -3u = -25 + 7 Combine like terms: -25 + 7 = -18 -3u = -18 Divide each side by '-3'. u = 6 Simplifying u = 6
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