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Simplifying (12u + -5) + -5(4w + 5) = 50 Reorder the terms: (-5 + 12u) + -5(4w + 5) = 50 Remove parenthesis around (-5 + 12u) -5 + 12u + -5(4w + 5) = 50 Reorder the terms: -5 + 12u + -5(5 + 4w) = 50 -5 + 12u + (5 * -5 + 4w * -5) = 50 -5 + 12u + (-25 + -20w) = 50 Reorder the terms: -5 + -25 + 12u + -20w = 50 Combine like terms: -5 + -25 = -30 -30 + 12u + -20w = 50 Solving -30 + 12u + -20w = 50 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 12u + 30 + -20w = 50 + 30 Reorder the terms: -30 + 30 + 12u + -20w = 50 + 30 Combine like terms: -30 + 30 = 0 0 + 12u + -20w = 50 + 30 12u + -20w = 50 + 30 Combine like terms: 50 + 30 = 80 12u + -20w = 80 Add '20w' to each side of the equation. 12u + -20w + 20w = 80 + 20w Combine like terms: -20w + 20w = 0 12u + 0 = 80 + 20w 12u = 80 + 20w Divide each side by '12'. u = 6.666666667 + 1.666666667w Simplifying u = 6.666666667 + 1.666666667w
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