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Simplifying (5 + -3w + 2u)(-8) = 0 Reorder the terms: (5 + 2u + -3w)(-8) = 0 Reorder the terms for easier multiplication: -8(5 + 2u + -3w) = 0 (5 * -8 + 2u * -8 + -3w * -8) = 0 (-40 + -16u + 24w) = 0 Solving -40 + -16u + 24w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '40' to each side of the equation. -40 + -16u + 40 + 24w = 0 + 40 Reorder the terms: -40 + 40 + -16u + 24w = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -16u + 24w = 0 + 40 -16u + 24w = 0 + 40 Combine like terms: 0 + 40 = 40 -16u + 24w = 40 Add '-24w' to each side of the equation. -16u + 24w + -24w = 40 + -24w Combine like terms: 24w + -24w = 0 -16u + 0 = 40 + -24w -16u = 40 + -24w Divide each side by '-16'. u = -2.5 + 1.5w Simplifying u = -2.5 + 1.5w
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