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Simplifying 2(u + 5) = -3(4u + -5) + 4u Reorder the terms: 2(5 + u) = -3(4u + -5) + 4u (5 * 2 + u * 2) = -3(4u + -5) + 4u (10 + 2u) = -3(4u + -5) + 4u Reorder the terms: 10 + 2u = -3(-5 + 4u) + 4u 10 + 2u = (-5 * -3 + 4u * -3) + 4u 10 + 2u = (15 + -12u) + 4u Combine like terms: -12u + 4u = -8u 10 + 2u = 15 + -8u Solving 10 + 2u = 15 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. 10 + 2u + 8u = 15 + -8u + 8u Combine like terms: 2u + 8u = 10u 10 + 10u = 15 + -8u + 8u Combine like terms: -8u + 8u = 0 10 + 10u = 15 + 0 10 + 10u = 15 Add '-10' to each side of the equation. 10 + -10 + 10u = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 10u = 15 + -10 10u = 15 + -10 Combine like terms: 15 + -10 = 5 10u = 5 Divide each side by '10'. u = 0.5 Simplifying u = 0.5
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