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Simplifying -1(6w + u) + 6(-5u + 3w) = 0 Reorder the terms: -1(u + 6w) + 6(-5u + 3w) = 0 (u * -1 + 6w * -1) + 6(-5u + 3w) = 0 (-1u + -6w) + 6(-5u + 3w) = 0 -1u + -6w + (-5u * 6 + 3w * 6) = 0 -1u + -6w + (-30u + 18w) = 0 Reorder the terms: -1u + -30u + -6w + 18w = 0 Combine like terms: -1u + -30u = -31u -31u + -6w + 18w = 0 Combine like terms: -6w + 18w = 12w -31u + 12w = 0 Solving -31u + 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. -31u + 12w + -12w = 0 + -12w Combine like terms: 12w + -12w = 0 -31u + 0 = 0 + -12w -31u = 0 + -12w Remove the zero: -31u = -12w Divide each side by '-31'. u = 0.3870967742w Simplifying u = 0.3870967742w
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