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Simplifying 2u + 3v + 4 = 7 + -8u Reorder the terms: 4 + 2u + 3v = 7 + -8u Solving 4 + 2u + 3v = 7 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. 4 + 2u + 8u + 3v = 7 + -8u + 8u Combine like terms: 2u + 8u = 10u 4 + 10u + 3v = 7 + -8u + 8u Combine like terms: -8u + 8u = 0 4 + 10u + 3v = 7 + 0 4 + 10u + 3v = 7 Add '-4' to each side of the equation. 4 + 10u + -4 + 3v = 7 + -4 Reorder the terms: 4 + -4 + 10u + 3v = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 10u + 3v = 7 + -4 10u + 3v = 7 + -4 Combine like terms: 7 + -4 = 3 10u + 3v = 3 Add '-3v' to each side of the equation. 10u + 3v + -3v = 3 + -3v Combine like terms: 3v + -3v = 0 10u + 0 = 3 + -3v 10u = 3 + -3v Divide each side by '10'. u = 0.3 + -0.3v Simplifying u = 0.3 + -0.3v
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