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Simplifying 3 + 4(2u + -2) = -2(6u + -5) + 2u Reorder the terms: 3 + 4(-2 + 2u) = -2(6u + -5) + 2u 3 + (-2 * 4 + 2u * 4) = -2(6u + -5) + 2u 3 + (-8 + 8u) = -2(6u + -5) + 2u Combine like terms: 3 + -8 = -5 -5 + 8u = -2(6u + -5) + 2u Reorder the terms: -5 + 8u = -2(-5 + 6u) + 2u -5 + 8u = (-5 * -2 + 6u * -2) + 2u -5 + 8u = (10 + -12u) + 2u Combine like terms: -12u + 2u = -10u -5 + 8u = 10 + -10u Solving -5 + 8u = 10 + -10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '10u' to each side of the equation. -5 + 8u + 10u = 10 + -10u + 10u Combine like terms: 8u + 10u = 18u -5 + 18u = 10 + -10u + 10u Combine like terms: -10u + 10u = 0 -5 + 18u = 10 + 0 -5 + 18u = 10 Add '5' to each side of the equation. -5 + 5 + 18u = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 18u = 10 + 5 18u = 10 + 5 Combine like terms: 10 + 5 = 15 18u = 15 Divide each side by '18'. u = 0.8333333333 Simplifying u = 0.8333333333
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