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Simplifying 8 + 2(6u + -1) = -4(3u + -5) + 6 Reorder the terms: 8 + 2(-1 + 6u) = -4(3u + -5) + 6 8 + (-1 * 2 + 6u * 2) = -4(3u + -5) + 6 8 + (-2 + 12u) = -4(3u + -5) + 6 Combine like terms: 8 + -2 = 6 6 + 12u = -4(3u + -5) + 6 Reorder the terms: 6 + 12u = -4(-5 + 3u) + 6 6 + 12u = (-5 * -4 + 3u * -4) + 6 6 + 12u = (20 + -12u) + 6 Reorder the terms: 6 + 12u = 20 + 6 + -12u Combine like terms: 20 + 6 = 26 6 + 12u = 26 + -12u Solving 6 + 12u = 26 + -12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '12u' to each side of the equation. 6 + 12u + 12u = 26 + -12u + 12u Combine like terms: 12u + 12u = 24u 6 + 24u = 26 + -12u + 12u Combine like terms: -12u + 12u = 0 6 + 24u = 26 + 0 6 + 24u = 26 Add '-6' to each side of the equation. 6 + -6 + 24u = 26 + -6 Combine like terms: 6 + -6 = 0 0 + 24u = 26 + -6 24u = 26 + -6 Combine like terms: 26 + -6 = 20 24u = 20 Divide each side by '24'. u = 0.8333333333 Simplifying u = 0.8333333333
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