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Simplifying 7u + 19 + -10u = -20 + 5(-1u + 1) Reorder the terms: 19 + 7u + -10u = -20 + 5(-1u + 1) Combine like terms: 7u + -10u = -3u 19 + -3u = -20 + 5(-1u + 1) Reorder the terms: 19 + -3u = -20 + 5(1 + -1u) 19 + -3u = -20 + (1 * 5 + -1u * 5) 19 + -3u = -20 + (5 + -5u) Combine like terms: -20 + 5 = -15 19 + -3u = -15 + -5u Solving 19 + -3u = -15 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. 19 + -3u + 5u = -15 + -5u + 5u Combine like terms: -3u + 5u = 2u 19 + 2u = -15 + -5u + 5u Combine like terms: -5u + 5u = 0 19 + 2u = -15 + 0 19 + 2u = -15 Add '-19' to each side of the equation. 19 + -19 + 2u = -15 + -19 Combine like terms: 19 + -19 = 0 0 + 2u = -15 + -19 2u = -15 + -19 Combine like terms: -15 + -19 = -34 2u = -34 Divide each side by '2'. u = -17 Simplifying u = -17
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