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Simplifying 5u + 9v + -3(5u + -5v + 4w) = 0 5u + 9v + (5u * -3 + -5v * -3 + 4w * -3) = 0 5u + 9v + (-15u + 15v + -12w) = 0 Reorder the terms: 5u + -15u + 9v + 15v + -12w = 0 Combine like terms: 5u + -15u = -10u -10u + 9v + 15v + -12w = 0 Combine like terms: 9v + 15v = 24v -10u + 24v + -12w = 0 Solving -10u + 24v + -12w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-24v' to each side of the equation. -10u + 24v + -24v + -12w = 0 + -24v Combine like terms: 24v + -24v = 0 -10u + 0 + -12w = 0 + -24v -10u + -12w = 0 + -24v Remove the zero: -10u + -12w = -24v Add '12w' to each side of the equation. -10u + -12w + 12w = -24v + 12w Combine like terms: -12w + 12w = 0 -10u + 0 = -24v + 12w -10u = -24v + 12w Divide each side by '-10'. u = 2.4v + -1.2w Simplifying u = 2.4v + -1.2w
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