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Simplifying 7u + 2v + -7(4u + -8v) = 0 7u + 2v + (4u * -7 + -8v * -7) = 0 7u + 2v + (-28u + 56v) = 0 Reorder the terms: 7u + -28u + 2v + 56v = 0 Combine like terms: 7u + -28u = -21u -21u + 2v + 56v = 0 Combine like terms: 2v + 56v = 58v -21u + 58v = 0 Solving -21u + 58v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-58v' to each side of the equation. -21u + 58v + -58v = 0 + -58v Combine like terms: 58v + -58v = 0 -21u + 0 = 0 + -58v -21u = 0 + -58v Remove the zero: -21u = -58v Divide each side by '-21'. u = 2.761904762v Simplifying u = 2.761904762v
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