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Simplifying 2(u + 3v) = w + -5u (u * 2 + 3v * 2) = w + -5u (2u + 6v) = w + -5u Reorder the terms: 2u + 6v = -5u + w Solving 2u + 6v = -5u + w 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. 2u + 5u + 6v = -5u + 5u + w Combine like terms: 2u + 5u = 7u 7u + 6v = -5u + 5u + w Combine like terms: -5u + 5u = 0 7u + 6v = 0 + w 7u + 6v = w Add '-6v' to each side of the equation. 7u + 6v + -6v = -6v + w Combine like terms: 6v + -6v = 0 7u + 0 = -6v + w 7u = -6v + w Divide each side by '7'. u = -0.8571428571v + 0.1428571429w Simplifying u = -0.8571428571v + 0.1428571429w
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