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Simplifying 10(4u + 3v) + 7(3u + 3v) = 0 (4u * 10 + 3v * 10) + 7(3u + 3v) = 0 (40u + 30v) + 7(3u + 3v) = 0 40u + 30v + (3u * 7 + 3v * 7) = 0 40u + 30v + (21u + 21v) = 0 Reorder the terms: 40u + 21u + 30v + 21v = 0 Combine like terms: 40u + 21u = 61u 61u + 30v + 21v = 0 Combine like terms: 30v + 21v = 51v 61u + 51v = 0 Solving 61u + 51v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-51v' to each side of the equation. 61u + 51v + -51v = 0 + -51v Combine like terms: 51v + -51v = 0 61u + 0 = 0 + -51v 61u = 0 + -51v Remove the zero: 61u = -51v Divide each side by '61'. u = -0.8360655738v Simplifying u = -0.8360655738v
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