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Simplifying -3(-9u + 8) + -8u = 5(u + -2) + -2 Reorder the terms: -3(8 + -9u) + -8u = 5(u + -2) + -2 (8 * -3 + -9u * -3) + -8u = 5(u + -2) + -2 (-24 + 27u) + -8u = 5(u + -2) + -2 Combine like terms: 27u + -8u = 19u -24 + 19u = 5(u + -2) + -2 Reorder the terms: -24 + 19u = 5(-2 + u) + -2 -24 + 19u = (-2 * 5 + u * 5) + -2 -24 + 19u = (-10 + 5u) + -2 Reorder the terms: -24 + 19u = -10 + -2 + 5u Combine like terms: -10 + -2 = -12 -24 + 19u = -12 + 5u Solving -24 + 19u = -12 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -24 + 19u + -5u = -12 + 5u + -5u Combine like terms: 19u + -5u = 14u -24 + 14u = -12 + 5u + -5u Combine like terms: 5u + -5u = 0 -24 + 14u = -12 + 0 -24 + 14u = -12 Add '24' to each side of the equation. -24 + 24 + 14u = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 14u = -12 + 24 14u = -12 + 24 Combine like terms: -12 + 24 = 12 14u = 12 Divide each side by '14'. u = 0.8571428571 Simplifying u = 0.8571428571
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