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Simplifying (12x + -5) + -5(4u + 5) = 50 Reorder the terms: (-5 + 12x) + -5(4u + 5) = 50 Remove parenthesis around (-5 + 12x) -5 + 12x + -5(4u + 5) = 50 Reorder the terms: -5 + 12x + -5(5 + 4u) = 50 -5 + 12x + (5 * -5 + 4u * -5) = 50 -5 + 12x + (-25 + -20u) = 50 Reorder the terms: -5 + -25 + -20u + 12x = 50 Combine like terms: -5 + -25 = -30 -30 + -20u + 12x = 50 Solving -30 + -20u + 12x = 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 + -20u + 30 + 12x = 50 + 30 Reorder the terms: -30 + 30 + -20u + 12x = 50 + 30 Combine like terms: -30 + 30 = 0 0 + -20u + 12x = 50 + 30 -20u + 12x = 50 + 30 Combine like terms: 50 + 30 = 80 -20u + 12x = 80 Add '-12x' to each side of the equation. -20u + 12x + -12x = 80 + -12x Combine like terms: 12x + -12x = 0 -20u + 0 = 80 + -12x -20u = 80 + -12x Divide each side by '-20'. u = -4 + 0.6x Simplifying u = -4 + 0.6x
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