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Simplifying 3u + 7v + -8(7u + -8v) = 0 3u + 7v + (7u * -8 + -8v * -8) = 0 3u + 7v + (-56u + 64v) = 0 Reorder the terms: 3u + -56u + 7v + 64v = 0 Combine like terms: 3u + -56u = -53u -53u + 7v + 64v = 0 Combine like terms: 7v + 64v = 71v -53u + 71v = 0 Solving -53u + 71v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-71v' to each side of the equation. -53u + 71v + -71v = 0 + -71v Combine like terms: 71v + -71v = 0 -53u + 0 = 0 + -71v -53u = 0 + -71v Remove the zero: -53u = -71v Divide each side by '-53'. u = 1.339622642v Simplifying u = 1.339622642v
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