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Simplifying 2(u + -3) = 3u + 3 + -3(-5u + -3) Reorder the terms: 2(-3 + u) = 3u + 3 + -3(-5u + -3) (-3 * 2 + u * 2) = 3u + 3 + -3(-5u + -3) (-6 + 2u) = 3u + 3 + -3(-5u + -3) Reorder the terms: -6 + 2u = 3u + 3 + -3(-3 + -5u) -6 + 2u = 3u + 3 + (-3 * -3 + -5u * -3) -6 + 2u = 3u + 3 + (9 + 15u) Reorder the terms: -6 + 2u = 3 + 9 + 3u + 15u Combine like terms: 3 + 9 = 12 -6 + 2u = 12 + 3u + 15u Combine like terms: 3u + 15u = 18u -6 + 2u = 12 + 18u Solving -6 + 2u = 12 + 18u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-18u' to each side of the equation. -6 + 2u + -18u = 12 + 18u + -18u Combine like terms: 2u + -18u = -16u -6 + -16u = 12 + 18u + -18u Combine like terms: 18u + -18u = 0 -6 + -16u = 12 + 0 -6 + -16u = 12 Add '6' to each side of the equation. -6 + 6 + -16u = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -16u = 12 + 6 -16u = 12 + 6 Combine like terms: 12 + 6 = 18 -16u = 18 Divide each side by '-16'. u = -1.125 Simplifying u = -1.125
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