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Simplifying -5(3u + -4) + 6u = 3(u + 8) Reorder the terms: -5(-4 + 3u) + 6u = 3(u + 8) (-4 * -5 + 3u * -5) + 6u = 3(u + 8) (20 + -15u) + 6u = 3(u + 8) Combine like terms: -15u + 6u = -9u 20 + -9u = 3(u + 8) Reorder the terms: 20 + -9u = 3(8 + u) 20 + -9u = (8 * 3 + u * 3) 20 + -9u = (24 + 3u) Solving 20 + -9u = 24 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 20 + -9u + -3u = 24 + 3u + -3u Combine like terms: -9u + -3u = -12u 20 + -12u = 24 + 3u + -3u Combine like terms: 3u + -3u = 0 20 + -12u = 24 + 0 20 + -12u = 24 Add '-20' to each side of the equation. 20 + -20 + -12u = 24 + -20 Combine like terms: 20 + -20 = 0 0 + -12u = 24 + -20 -12u = 24 + -20 Combine like terms: 24 + -20 = 4 -12u = 4 Divide each side by '-12'. u = -0.3333333333 Simplifying u = -0.3333333333
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