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Simplifying -3(3u + -9) + 8u = 5(u + 7) Reorder the terms: -3(-9 + 3u) + 8u = 5(u + 7) (-9 * -3 + 3u * -3) + 8u = 5(u + 7) (27 + -9u) + 8u = 5(u + 7) Combine like terms: -9u + 8u = -1u 27 + -1u = 5(u + 7) Reorder the terms: 27 + -1u = 5(7 + u) 27 + -1u = (7 * 5 + u * 5) 27 + -1u = (35 + 5u) Solving 27 + -1u = 35 + 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. 27 + -1u + -5u = 35 + 5u + -5u Combine like terms: -1u + -5u = -6u 27 + -6u = 35 + 5u + -5u Combine like terms: 5u + -5u = 0 27 + -6u = 35 + 0 27 + -6u = 35 Add '-27' to each side of the equation. 27 + -27 + -6u = 35 + -27 Combine like terms: 27 + -27 = 0 0 + -6u = 35 + -27 -6u = 35 + -27 Combine like terms: 35 + -27 = 8 -6u = 8 Divide each side by '-6'. u = -1.333333333 Simplifying u = -1.333333333
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