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