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Simplifying -2(u + 6) = -5u + 3 Reorder the terms: -2(6 + u) = -5u + 3 (6 * -2 + u * -2) = -5u + 3 (-12 + -2u) = -5u + 3 Reorder the terms: -12 + -2u = 3 + -5u Solving -12 + -2u = 3 + -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 = 3 + -5u + 5u Combine like terms: -2u + 5u = 3u -12 + 3u = 3 + -5u + 5u Combine like terms: -5u + 5u = 0 -12 + 3u = 3 + 0 -12 + 3u = 3 Add '12' to each side of the equation. -12 + 12 + 3u = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 3u = 3 + 12 3u = 3 + 12 Combine like terms: 3 + 12 = 15 3u = 15 Divide each side by '3'. u = 5 Simplifying u = 5
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