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Simplifying 4(5u + 7) + -20(u + -7) = u + -3(u + 10) Reorder the terms: 4(7 + 5u) + -20(u + -7) = u + -3(u + 10) (7 * 4 + 5u * 4) + -20(u + -7) = u + -3(u + 10) (28 + 20u) + -20(u + -7) = u + -3(u + 10) Reorder the terms: 28 + 20u + -20(-7 + u) = u + -3(u + 10) 28 + 20u + (-7 * -20 + u * -20) = u + -3(u + 10) 28 + 20u + (140 + -20u) = u + -3(u + 10) Reorder the terms: 28 + 140 + 20u + -20u = u + -3(u + 10) Combine like terms: 28 + 140 = 168 168 + 20u + -20u = u + -3(u + 10) Combine like terms: 20u + -20u = 0 168 + 0 = u + -3(u + 10) 168 = u + -3(u + 10) Reorder the terms: 168 = u + -3(10 + u) 168 = u + (10 * -3 + u * -3) 168 = u + (-30 + -3u) Reorder the terms: 168 = -30 + u + -3u Combine like terms: u + -3u = -2u 168 = -30 + -2u Solving 168 = -30 + -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. 168 + 2u = -30 + -2u + 2u Combine like terms: -2u + 2u = 0 168 + 2u = -30 + 0 168 + 2u = -30 Add '-168' to each side of the equation. 168 + -168 + 2u = -30 + -168 Combine like terms: 168 + -168 = 0 0 + 2u = -30 + -168 2u = -30 + -168 Combine like terms: -30 + -168 = -198 2u = -198 Divide each side by '2'. u = -99 Simplifying u = -99
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