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Simplifying 7u + -1(10 + -3u) = 5(3u + 4) 7u + (10 * -1 + -3u * -1) = 5(3u + 4) 7u + (-10 + 3u) = 5(3u + 4) Reorder the terms: -10 + 7u + 3u = 5(3u + 4) Combine like terms: 7u + 3u = 10u -10 + 10u = 5(3u + 4) Reorder the terms: -10 + 10u = 5(4 + 3u) -10 + 10u = (4 * 5 + 3u * 5) -10 + 10u = (20 + 15u) Solving -10 + 10u = 20 + 15u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15u' to each side of the equation. -10 + 10u + -15u = 20 + 15u + -15u Combine like terms: 10u + -15u = -5u -10 + -5u = 20 + 15u + -15u Combine like terms: 15u + -15u = 0 -10 + -5u = 20 + 0 -10 + -5u = 20 Add '10' to each side of the equation. -10 + 10 + -5u = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -5u = 20 + 10 -5u = 20 + 10 Combine like terms: 20 + 10 = 30 -5u = 30 Divide each side by '-5'. u = -6 Simplifying u = -6
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