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Simplifying -3(u + 2) = 2(u + 6) + 7 Reorder the terms: -3(2 + u) = 2(u + 6) + 7 (2 * -3 + u * -3) = 2(u + 6) + 7 (-6 + -3u) = 2(u + 6) + 7 Reorder the terms: -6 + -3u = 2(6 + u) + 7 -6 + -3u = (6 * 2 + u * 2) + 7 -6 + -3u = (12 + 2u) + 7 Reorder the terms: -6 + -3u = 12 + 7 + 2u Combine like terms: 12 + 7 = 19 -6 + -3u = 19 + 2u Solving -6 + -3u = 19 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -6 + -3u + -2u = 19 + 2u + -2u Combine like terms: -3u + -2u = -5u -6 + -5u = 19 + 2u + -2u Combine like terms: 2u + -2u = 0 -6 + -5u = 19 + 0 -6 + -5u = 19 Add '6' to each side of the equation. -6 + 6 + -5u = 19 + 6 Combine like terms: -6 + 6 = 0 0 + -5u = 19 + 6 -5u = 19 + 6 Combine like terms: 19 + 6 = 25 -5u = 25 Divide each side by '-5'. u = -5 Simplifying u = -5
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