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Simplifying 2 + 2(3u + -2) = -4(3u + -1) + 9u Reorder the terms: 2 + 2(-2 + 3u) = -4(3u + -1) + 9u 2 + (-2 * 2 + 3u * 2) = -4(3u + -1) + 9u 2 + (-4 + 6u) = -4(3u + -1) + 9u Combine like terms: 2 + -4 = -2 -2 + 6u = -4(3u + -1) + 9u Reorder the terms: -2 + 6u = -4(-1 + 3u) + 9u -2 + 6u = (-1 * -4 + 3u * -4) + 9u -2 + 6u = (4 + -12u) + 9u Combine like terms: -12u + 9u = -3u -2 + 6u = 4 + -3u Solving -2 + 6u = 4 + -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. -2 + 6u + 3u = 4 + -3u + 3u Combine like terms: 6u + 3u = 9u -2 + 9u = 4 + -3u + 3u Combine like terms: -3u + 3u = 0 -2 + 9u = 4 + 0 -2 + 9u = 4 Add '2' to each side of the equation. -2 + 2 + 9u = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 9u = 4 + 2 9u = 4 + 2 Combine like terms: 4 + 2 = 6 9u = 6 Divide each side by '9'. u = 0.6666666667 Simplifying u = 0.6666666667
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