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Simplifying 3u + 6v + 7 = 2 + -4u Reorder the terms: 7 + 3u + 6v = 2 + -4u Solving 7 + 3u + 6v = 2 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. 7 + 3u + 4u + 6v = 2 + -4u + 4u Combine like terms: 3u + 4u = 7u 7 + 7u + 6v = 2 + -4u + 4u Combine like terms: -4u + 4u = 0 7 + 7u + 6v = 2 + 0 7 + 7u + 6v = 2 Add '-7' to each side of the equation. 7 + 7u + -7 + 6v = 2 + -7 Reorder the terms: 7 + -7 + 7u + 6v = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 7u + 6v = 2 + -7 7u + 6v = 2 + -7 Combine like terms: 2 + -7 = -5 7u + 6v = -5 Add '-6v' to each side of the equation. 7u + 6v + -6v = -5 + -6v Combine like terms: 6v + -6v = 0 7u + 0 = -5 + -6v 7u = -5 + -6v Divide each side by '7'. u = -0.7142857143 + -0.8571428571v Simplifying u = -0.7142857143 + -0.8571428571v
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