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Simplifying 3(u + 9) = -5(2u + -3) + 5u Reorder the terms: 3(9 + u) = -5(2u + -3) + 5u (9 * 3 + u * 3) = -5(2u + -3) + 5u (27 + 3u) = -5(2u + -3) + 5u Reorder the terms: 27 + 3u = -5(-3 + 2u) + 5u 27 + 3u = (-3 * -5 + 2u * -5) + 5u 27 + 3u = (15 + -10u) + 5u Combine like terms: -10u + 5u = -5u 27 + 3u = 15 + -5u Solving 27 + 3u = 15 + -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 + 3u + 5u = 15 + -5u + 5u Combine like terms: 3u + 5u = 8u 27 + 8u = 15 + -5u + 5u Combine like terms: -5u + 5u = 0 27 + 8u = 15 + 0 27 + 8u = 15 Add '-27' to each side of the equation. 27 + -27 + 8u = 15 + -27 Combine like terms: 27 + -27 = 0 0 + 8u = 15 + -27 8u = 15 + -27 Combine like terms: 15 + -27 = -12 8u = -12 Divide each side by '8'. u = -1.5 Simplifying u = -1.5
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