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Simplifying 3(4u + -2) + 3(3u + -6) = 0 Reorder the terms: 3(-2 + 4u) + 3(3u + -6) = 0 (-2 * 3 + 4u * 3) + 3(3u + -6) = 0 (-6 + 12u) + 3(3u + -6) = 0 Reorder the terms: -6 + 12u + 3(-6 + 3u) = 0 -6 + 12u + (-6 * 3 + 3u * 3) = 0 -6 + 12u + (-18 + 9u) = 0 Reorder the terms: -6 + -18 + 12u + 9u = 0 Combine like terms: -6 + -18 = -24 -24 + 12u + 9u = 0 Combine like terms: 12u + 9u = 21u -24 + 21u = 0 Solving -24 + 21u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 21u = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 21u = 0 + 24 21u = 0 + 24 Combine like terms: 0 + 24 = 24 21u = 24 Divide each side by '21'. u = 1.142857143 Simplifying u = 1.142857143
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