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Simplifying (3w + -6u + -5) = (7w + -4u + -4) Reorder the terms: (-5 + -6u + 3w) = (7w + -4u + -4) Remove parenthesis around (-5 + -6u + 3w) -5 + -6u + 3w = (7w + -4u + -4) Reorder the terms: -5 + -6u + 3w = (-4 + -4u + 7w) Remove parenthesis around (-4 + -4u + 7w) -5 + -6u + 3w = -4 + -4u + 7w Solving -5 + -6u + 3w = -4 + -4u + 7w Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. -5 + -6u + 4u + 3w = -4 + -4u + 4u + 7w Combine like terms: -6u + 4u = -2u -5 + -2u + 3w = -4 + -4u + 4u + 7w Combine like terms: -4u + 4u = 0 -5 + -2u + 3w = -4 + 0 + 7w -5 + -2u + 3w = -4 + 7w Add '5' to each side of the equation. -5 + -2u + 5 + 3w = -4 + 5 + 7w Reorder the terms: -5 + 5 + -2u + 3w = -4 + 5 + 7w Combine like terms: -5 + 5 = 0 0 + -2u + 3w = -4 + 5 + 7w -2u + 3w = -4 + 5 + 7w Combine like terms: -4 + 5 = 1 -2u + 3w = 1 + 7w Add '-3w' to each side of the equation. -2u + 3w + -3w = 1 + 7w + -3w Combine like terms: 3w + -3w = 0 -2u + 0 = 1 + 7w + -3w -2u = 1 + 7w + -3w Combine like terms: 7w + -3w = 4w -2u = 1 + 4w Divide each side by '-2'. u = -0.5 + -2w Simplifying u = -0.5 + -2w
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