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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 = -30 -30 + 12u + -20u = 50 Combine like terms: 12u + -20u = -8u -30 + -8u = 50 Solving -30 + -8u = 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 + 30 + -8u = 50 + 30 Combine like terms: -30 + 30 = 0 0 + -8u = 50 + 30 -8u = 50 + 30 Combine like terms: 50 + 30 = 80 -8u = 80 Divide each side by '-8'. u = -10 Simplifying u = -10
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