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Simplifying 2uv + 8v + -4vw + 2v = 0 Reorder the terms: 2uv + 8v + 2v + -4vw = 0 Combine like terms: 8v + 2v = 10v 2uv + 10v + -4vw = 0 Solving 2uv + 10v + -4vw = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10v' to each side of the equation. 2uv + 10v + -10v + -4vw = 0 + -10v Combine like terms: 10v + -10v = 0 2uv + 0 + -4vw = 0 + -10v 2uv + -4vw = 0 + -10v Remove the zero: 2uv + -4vw = -10v Add '4vw' to each side of the equation. 2uv + -4vw + 4vw = -10v + 4vw Combine like terms: -4vw + 4vw = 0 2uv + 0 = -10v + 4vw 2uv = -10v + 4vw Divide each side by '2v'. u = -5 + 2w Simplifying u = -5 + 2w
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