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Simplifying -3(u + 5) = 9u + -9 + 2(3u + 4) Reorder the terms: -3(5 + u) = 9u + -9 + 2(3u + 4) (5 * -3 + u * -3) = 9u + -9 + 2(3u + 4) (-15 + -3u) = 9u + -9 + 2(3u + 4) Reorder the terms: -15 + -3u = 9u + -9 + 2(4 + 3u) -15 + -3u = 9u + -9 + (4 * 2 + 3u * 2) -15 + -3u = 9u + -9 + (8 + 6u) Reorder the terms: -15 + -3u = -9 + 8 + 9u + 6u Combine like terms: -9 + 8 = -1 -15 + -3u = -1 + 9u + 6u Combine like terms: 9u + 6u = 15u -15 + -3u = -1 + 15u Solving -15 + -3u = -1 + 15u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15u' to each side of the equation. -15 + -3u + -15u = -1 + 15u + -15u Combine like terms: -3u + -15u = -18u -15 + -18u = -1 + 15u + -15u Combine like terms: 15u + -15u = 0 -15 + -18u = -1 + 0 -15 + -18u = -1 Add '15' to each side of the equation. -15 + 15 + -18u = -1 + 15 Combine like terms: -15 + 15 = 0 0 + -18u = -1 + 15 -18u = -1 + 15 Combine like terms: -1 + 15 = 14 -18u = 14 Divide each side by '-18'. u = -0.7777777778 Simplifying u = -0.7777777778
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