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Simplifying -4(2u + w) + -3(-2w + -5u) = 0 (2u * -4 + w * -4) + -3(-2w + -5u) = 0 (-8u + -4w) + -3(-2w + -5u) = 0 Reorder the terms: -8u + -4w + -3(-5u + -2w) = 0 -8u + -4w + (-5u * -3 + -2w * -3) = 0 -8u + -4w + (15u + 6w) = 0 Reorder the terms: -8u + 15u + -4w + 6w = 0 Combine like terms: -8u + 15u = 7u 7u + -4w + 6w = 0 Combine like terms: -4w + 6w = 2w 7u + 2w = 0 Solving 7u + 2w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2w' to each side of the equation. 7u + 2w + -2w = 0 + -2w Combine like terms: 2w + -2w = 0 7u + 0 = 0 + -2w 7u = 0 + -2w Remove the zero: 7u = -2w Divide each side by '7'. u = -0.2857142857w Simplifying u = -0.2857142857w
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