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Simplifying -4(6u + -5) + 8u = 2(u + 6) Reorder the terms: -4(-5 + 6u) + 8u = 2(u + 6) (-5 * -4 + 6u * -4) + 8u = 2(u + 6) (20 + -24u) + 8u = 2(u + 6) Combine like terms: -24u + 8u = -16u 20 + -16u = 2(u + 6) Reorder the terms: 20 + -16u = 2(6 + u) 20 + -16u = (6 * 2 + u * 2) 20 + -16u = (12 + 2u) Solving 20 + -16u = 12 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 20 + -16u + -2u = 12 + 2u + -2u Combine like terms: -16u + -2u = -18u 20 + -18u = 12 + 2u + -2u Combine like terms: 2u + -2u = 0 20 + -18u = 12 + 0 20 + -18u = 12 Add '-20' to each side of the equation. 20 + -20 + -18u = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -18u = 12 + -20 -18u = 12 + -20 Combine like terms: 12 + -20 = -8 -18u = -8 Divide each side by '-18'. u = 0.4444444444 Simplifying u = 0.4444444444
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