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Simplifying -2(u + 3) = 3(u + 4) + 7 Reorder the terms: -2(3 + u) = 3(u + 4) + 7 (3 * -2 + u * -2) = 3(u + 4) + 7 (-6 + -2u) = 3(u + 4) + 7 Reorder the terms: -6 + -2u = 3(4 + u) + 7 -6 + -2u = (4 * 3 + u * 3) + 7 -6 + -2u = (12 + 3u) + 7 Reorder the terms: -6 + -2u = 12 + 7 + 3u Combine like terms: 12 + 7 = 19 -6 + -2u = 19 + 3u Solving -6 + -2u = 19 + 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 + -2u + -3u = 19 + 3u + -3u Combine like terms: -2u + -3u = -5u -6 + -5u = 19 + 3u + -3u Combine like terms: 3u + -3u = 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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