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Simplifying -3(-5u + 6) + -8u = 3(u + -6) + -6 Reorder the terms: -3(6 + -5u) + -8u = 3(u + -6) + -6 (6 * -3 + -5u * -3) + -8u = 3(u + -6) + -6 (-18 + 15u) + -8u = 3(u + -6) + -6 Combine like terms: 15u + -8u = 7u -18 + 7u = 3(u + -6) + -6 Reorder the terms: -18 + 7u = 3(-6 + u) + -6 -18 + 7u = (-6 * 3 + u * 3) + -6 -18 + 7u = (-18 + 3u) + -6 Reorder the terms: -18 + 7u = -18 + -6 + 3u Combine like terms: -18 + -6 = -24 -18 + 7u = -24 + 3u Solving -18 + 7u = -24 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -18 + 7u + -3u = -24 + 3u + -3u Combine like terms: 7u + -3u = 4u -18 + 4u = -24 + 3u + -3u Combine like terms: 3u + -3u = 0 -18 + 4u = -24 + 0 -18 + 4u = -24 Add '18' to each side of the equation. -18 + 18 + 4u = -24 + 18 Combine like terms: -18 + 18 = 0 0 + 4u = -24 + 18 4u = -24 + 18 Combine like terms: -24 + 18 = -6 4u = -6 Divide each side by '4'. u = -1.5 Simplifying u = -1.5
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