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Simplifying (12u + -5) + -5(4u + -5) = 50 Reorder the terms: (-5 + 12u) + -5(4u + -5) = 50 Remove parenthesis around (-5 + 12u) -5 + 12u + -5(4u + -5) = 50 Reorder the terms: -5 + 12u + -5(-5 + 4u) = 50 -5 + 12u + (-5 * -5 + 4u * -5) = 50 -5 + 12u + (25 + -20u) = 50 Reorder the terms: -5 + 25 + 12u + -20u = 50 Combine like terms: -5 + 25 = 20 20 + 12u + -20u = 50 Combine like terms: 12u + -20u = -8u 20 + -8u = 50 Solving 20 + -8u = 50 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -8u = 50 + -20 Combine like terms: 20 + -20 = 0 0 + -8u = 50 + -20 -8u = 50 + -20 Combine like terms: 50 + -20 = 30 -8u = 30 Divide each side by '-8'. u = -3.75 Simplifying u = -3.75
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