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Simplifying 5(u + -5) + 9 = 2(u + 4) Reorder the terms: 5(-5 + u) + 9 = 2(u + 4) (-5 * 5 + u * 5) + 9 = 2(u + 4) (-25 + 5u) + 9 = 2(u + 4) Reorder the terms: -25 + 9 + 5u = 2(u + 4) Combine like terms: -25 + 9 = -16 -16 + 5u = 2(u + 4) Reorder the terms: -16 + 5u = 2(4 + u) -16 + 5u = (4 * 2 + u * 2) -16 + 5u = (8 + 2u) Solving -16 + 5u = 8 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -16 + 5u + -2u = 8 + 2u + -2u Combine like terms: 5u + -2u = 3u -16 + 3u = 8 + 2u + -2u Combine like terms: 2u + -2u = 0 -16 + 3u = 8 + 0 -16 + 3u = 8 Add '16' to each side of the equation. -16 + 16 + 3u = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 3u = 8 + 16 3u = 8 + 16 Combine like terms: 8 + 16 = 24 3u = 24 Divide each side by '3'. u = 8 Simplifying u = 8
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