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Simplifying 4 + 2(3u + -7) = -2(7u + -1) + 6u Reorder the terms: 4 + 2(-7 + 3u) = -2(7u + -1) + 6u 4 + (-7 * 2 + 3u * 2) = -2(7u + -1) + 6u 4 + (-14 + 6u) = -2(7u + -1) + 6u Combine like terms: 4 + -14 = -10 -10 + 6u = -2(7u + -1) + 6u Reorder the terms: -10 + 6u = -2(-1 + 7u) + 6u -10 + 6u = (-1 * -2 + 7u * -2) + 6u -10 + 6u = (2 + -14u) + 6u Combine like terms: -14u + 6u = -8u -10 + 6u = 2 + -8u Solving -10 + 6u = 2 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. -10 + 6u + 8u = 2 + -8u + 8u Combine like terms: 6u + 8u = 14u -10 + 14u = 2 + -8u + 8u Combine like terms: -8u + 8u = 0 -10 + 14u = 2 + 0 -10 + 14u = 2 Add '10' to each side of the equation. -10 + 10 + 14u = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 14u = 2 + 10 14u = 2 + 10 Combine like terms: 2 + 10 = 12 14u = 12 Divide each side by '14'. u = 0.8571428571 Simplifying u = 0.8571428571
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