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Simplifying 8u + 3v = 2u + 7v Solving 8u + 3v = 2u + 7v 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. 8u + -2u + 3v = 2u + -2u + 7v Combine like terms: 8u + -2u = 6u 6u + 3v = 2u + -2u + 7v Combine like terms: 2u + -2u = 0 6u + 3v = 0 + 7v 6u + 3v = 7v Add '-3v' to each side of the equation. 6u + 3v + -3v = 7v + -3v Combine like terms: 3v + -3v = 0 6u + 0 = 7v + -3v 6u = 7v + -3v Combine like terms: 7v + -3v = 4v 6u = 4v Divide each side by '6'. u = 0.6666666667v Simplifying u = 0.6666666667v
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