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Simplifying -2(3w + u) + -6(u + w) = 0 Reorder the terms: -2(u + 3w) + -6(u + w) = 0 (u * -2 + 3w * -2) + -6(u + w) = 0 (-2u + -6w) + -6(u + w) = 0 -2u + -6w + (u * -6 + w * -6) = 0 -2u + -6w + (-6u + -6w) = 0 Reorder the terms: -2u + -6u + -6w + -6w = 0 Combine like terms: -2u + -6u = -8u -8u + -6w + -6w = 0 Combine like terms: -6w + -6w = -12w -8u + -12w = 0 Solving -8u + -12w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '12w' to each side of the equation. -8u + -12w + 12w = 0 + 12w Combine like terms: -12w + 12w = 0 -8u + 0 = 0 + 12w -8u = 0 + 12w Remove the zero: -8u = 12w Divide each side by '-8'. u = -1.5w Simplifying u = -1.5w
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