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Simplifying 4 + (u + 3) = 10 + -1(2u + -5) Reorder the terms: 4 + (3 + u) = 10 + -1(2u + -5) Remove parenthesis around (3 + u) 4 + 3 + u = 10 + -1(2u + -5) Combine like terms: 4 + 3 = 7 7 + u = 10 + -1(2u + -5) Reorder the terms: 7 + u = 10 + -1(-5 + 2u) 7 + u = 10 + (-5 * -1 + 2u * -1) 7 + u = 10 + (5 + -2u) Combine like terms: 10 + 5 = 15 7 + u = 15 + -2u Solving 7 + u = 15 + -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. 7 + u + 2u = 15 + -2u + 2u Combine like terms: u + 2u = 3u 7 + 3u = 15 + -2u + 2u Combine like terms: -2u + 2u = 0 7 + 3u = 15 + 0 7 + 3u = 15 Add '-7' to each side of the equation. 7 + -7 + 3u = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 3u = 15 + -7 3u = 15 + -7 Combine like terms: 15 + -7 = 8 3u = 8 Divide each side by '3'. u = 2.666666667 Simplifying u = 2.666666667
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