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Simplifying -2(-6u + 3) + -5u = 3(u + -6) + -2 Reorder the terms: -2(3 + -6u) + -5u = 3(u + -6) + -2 (3 * -2 + -6u * -2) + -5u = 3(u + -6) + -2 (-6 + 12u) + -5u = 3(u + -6) + -2 Combine like terms: 12u + -5u = 7u -6 + 7u = 3(u + -6) + -2 Reorder the terms: -6 + 7u = 3(-6 + u) + -2 -6 + 7u = (-6 * 3 + u * 3) + -2 -6 + 7u = (-18 + 3u) + -2 Reorder the terms: -6 + 7u = -18 + -2 + 3u Combine like terms: -18 + -2 = -20 -6 + 7u = -20 + 3u Solving -6 + 7u = -20 + 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. -6 + 7u + -3u = -20 + 3u + -3u Combine like terms: 7u + -3u = 4u -6 + 4u = -20 + 3u + -3u Combine like terms: 3u + -3u = 0 -6 + 4u = -20 + 0 -6 + 4u = -20 Add '6' to each side of the equation. -6 + 6 + 4u = -20 + 6 Combine like terms: -6 + 6 = 0 0 + 4u = -20 + 6 4u = -20 + 6 Combine like terms: -20 + 6 = -14 4u = -14 Divide each side by '4'. u = -3.5 Simplifying u = -3.5
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