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Simplifying -2(u + -6) = -5u + -9 Reorder the terms: -2(-6 + u) = -5u + -9 (-6 * -2 + u * -2) = -5u + -9 (12 + -2u) = -5u + -9 Reorder the terms: 12 + -2u = -9 + -5u Solving 12 + -2u = -9 + -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. 12 + -2u + 5u = -9 + -5u + 5u Combine like terms: -2u + 5u = 3u 12 + 3u = -9 + -5u + 5u Combine like terms: -5u + 5u = 0 12 + 3u = -9 + 0 12 + 3u = -9 Add '-12' to each side of the equation. 12 + -12 + 3u = -9 + -12 Combine like terms: 12 + -12 = 0 0 + 3u = -9 + -12 3u = -9 + -12 Combine like terms: -9 + -12 = -21 3u = -21 Divide each side by '3'. u = -7 Simplifying u = -7
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