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Simplifying 2(u + 3v) = w + -50 (u * 2 + 3v * 2) = w + -50 (2u + 6v) = w + -50 Reorder the terms: 2u + 6v = -50 + w Solving 2u + 6v = -50 + w Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6v' to each side of the equation. 2u + 6v + -6v = -50 + -6v + w Combine like terms: 6v + -6v = 0 2u + 0 = -50 + -6v + w 2u = -50 + -6v + w Divide each side by '2'. u = -25 + -3v + 0.5w Simplifying u = -25 + -3v + 0.5w
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