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Simplifying 3u + -2(2u + -7) = 2(3 + u) + -4 Reorder the terms: 3u + -2(-7 + 2u) = 2(3 + u) + -4 3u + (-7 * -2 + 2u * -2) = 2(3 + u) + -4 3u + (14 + -4u) = 2(3 + u) + -4 Reorder the terms: 14 + 3u + -4u = 2(3 + u) + -4 Combine like terms: 3u + -4u = -1u 14 + -1u = 2(3 + u) + -4 14 + -1u = (3 * 2 + u * 2) + -4 14 + -1u = (6 + 2u) + -4 Reorder the terms: 14 + -1u = 6 + -4 + 2u Combine like terms: 6 + -4 = 2 14 + -1u = 2 + 2u Solving 14 + -1u = 2 + 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. 14 + -1u + -2u = 2 + 2u + -2u Combine like terms: -1u + -2u = -3u 14 + -3u = 2 + 2u + -2u Combine like terms: 2u + -2u = 0 14 + -3u = 2 + 0 14 + -3u = 2 Add '-14' to each side of the equation. 14 + -14 + -3u = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -3u = 2 + -14 -3u = 2 + -14 Combine like terms: 2 + -14 = -12 -3u = -12 Divide each side by '-3'. u = 4 Simplifying u = 4
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