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Simplifying 3(2u + -4) + -3(u + 5) = 0 Reorder the terms: 3(-4 + 2u) + -3(u + 5) = 0 (-4 * 3 + 2u * 3) + -3(u + 5) = 0 (-12 + 6u) + -3(u + 5) = 0 Reorder the terms: -12 + 6u + -3(5 + u) = 0 -12 + 6u + (5 * -3 + u * -3) = 0 -12 + 6u + (-15 + -3u) = 0 Reorder the terms: -12 + -15 + 6u + -3u = 0 Combine like terms: -12 + -15 = -27 -27 + 6u + -3u = 0 Combine like terms: 6u + -3u = 3u -27 + 3u = 0 Solving -27 + 3u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 3u = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 3u = 0 + 27 3u = 0 + 27 Combine like terms: 0 + 27 = 27 3u = 27 Divide each side by '3'. u = 9 Simplifying u = 9
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