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Simplifying -2(6u + v) + (-5v + 4u) = 0 (6u * -2 + v * -2) + (-5v + 4u) = 0 (-12u + -2v) + (-5v + 4u) = 0 Reorder the terms: -12u + -2v + (4u + -5v) = 0 Remove parenthesis around (4u + -5v) -12u + -2v + 4u + -5v = 0 Reorder the terms: -12u + 4u + -2v + -5v = 0 Combine like terms: -12u + 4u = -8u -8u + -2v + -5v = 0 Combine like terms: -2v + -5v = -7v -8u + -7v = 0 Solving -8u + -7v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7v' to each side of the equation. -8u + -7v + 7v = 0 + 7v Combine like terms: -7v + 7v = 0 -8u + 0 = 0 + 7v -8u = 0 + 7v Remove the zero: -8u = 7v Divide each side by '-8'. u = -0.875v Simplifying u = -0.875v
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