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Simplifying -4(4w + -1u) + 5(-5u + 2w) = 0 Reorder the terms: -4(-1u + 4w) + 5(-5u + 2w) = 0 (-1u * -4 + 4w * -4) + 5(-5u + 2w) = 0 (4u + -16w) + 5(-5u + 2w) = 0 4u + -16w + (-5u * 5 + 2w * 5) = 0 4u + -16w + (-25u + 10w) = 0 Reorder the terms: 4u + -25u + -16w + 10w = 0 Combine like terms: 4u + -25u = -21u -21u + -16w + 10w = 0 Combine like terms: -16w + 10w = -6w -21u + -6w = 0 Solving -21u + -6w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6w' to each side of the equation. -21u + -6w + 6w = 0 + 6w Combine like terms: -6w + 6w = 0 -21u + 0 = 0 + 6w -21u = 0 + 6w Remove the zero: -21u = 6w Divide each side by '-21'. u = -0.2857142857w Simplifying u = -0.2857142857w
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