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Simplifying 4 + 3(3u + -2) = -2(6u + -3) + 9u Reorder the terms: 4 + 3(-2 + 3u) = -2(6u + -3) + 9u 4 + (-2 * 3 + 3u * 3) = -2(6u + -3) + 9u 4 + (-6 + 9u) = -2(6u + -3) + 9u Combine like terms: 4 + -6 = -2 -2 + 9u = -2(6u + -3) + 9u Reorder the terms: -2 + 9u = -2(-3 + 6u) + 9u -2 + 9u = (-3 * -2 + 6u * -2) + 9u -2 + 9u = (6 + -12u) + 9u Combine like terms: -12u + 9u = -3u -2 + 9u = 6 + -3u Solving -2 + 9u = 6 + -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 + 9u + 3u = 6 + -3u + 3u Combine like terms: 9u + 3u = 12u -2 + 12u = 6 + -3u + 3u Combine like terms: -3u + 3u = 0 -2 + 12u = 6 + 0 -2 + 12u = 6 Add '2' to each side of the equation. -2 + 2 + 12u = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 12u = 6 + 2 12u = 6 + 2 Combine like terms: 6 + 2 = 8 12u = 8 Divide each side by '12'. u = 0.6666666667 Simplifying u = 0.6666666667
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