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Simplifying 7u + 7v + -2(7u + -6v) = 0 7u + 7v + (7u * -2 + -6v * -2) = 0 7u + 7v + (-14u + 12v) = 0 Reorder the terms: 7u + -14u + 7v + 12v = 0 Combine like terms: 7u + -14u = -7u -7u + 7v + 12v = 0 Combine like terms: 7v + 12v = 19v -7u + 19v = 0 Solving -7u + 19v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-19v' to each side of the equation. -7u + 19v + -19v = 0 + -19v Combine like terms: 19v + -19v = 0 -7u + 0 = 0 + -19v -7u = 0 + -19v Remove the zero: -7u = -19v Divide each side by '-7'. u = 2.714285714v Simplifying u = 2.714285714v
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