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Simplifying -13 = 2(u + 4) + -5u Reorder the terms: -13 = 2(4 + u) + -5u -13 = (4 * 2 + u * 2) + -5u -13 = (8 + 2u) + -5u Combine like terms: 2u + -5u = -3u -13 = 8 + -3u Solving -13 = 8 + -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. -13 + 3u = 8 + -3u + 3u Combine like terms: -3u + 3u = 0 -13 + 3u = 8 + 0 -13 + 3u = 8 Add '13' to each side of the equation. -13 + 13 + 3u = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 3u = 8 + 13 3u = 8 + 13 Combine like terms: 8 + 13 = 21 3u = 21 Divide each side by '3'. u = 7 Simplifying u = 7
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