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Simplifying (12u + -6) + 4(-1 + -5w) = 0 Reorder the terms: (-6 + 12u) + 4(-1 + -5w) = 0 Remove parenthesis around (-6 + 12u) -6 + 12u + 4(-1 + -5w) = 0 -6 + 12u + (-1 * 4 + -5w * 4) = 0 -6 + 12u + (-4 + -20w) = 0 Reorder the terms: -6 + -4 + 12u + -20w = 0 Combine like terms: -6 + -4 = -10 -10 + 12u + -20w = 0 Solving -10 + 12u + -20w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 12u + 10 + -20w = 0 + 10 Reorder the terms: -10 + 10 + 12u + -20w = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 12u + -20w = 0 + 10 12u + -20w = 0 + 10 Combine like terms: 0 + 10 = 10 12u + -20w = 10 Add '20w' to each side of the equation. 12u + -20w + 20w = 10 + 20w Combine like terms: -20w + 20w = 0 12u + 0 = 10 + 20w 12u = 10 + 20w Divide each side by '12'. u = 0.8333333333 + 1.666666667w Simplifying u = 0.8333333333 + 1.666666667w
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