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Simplifying 3(3u + -4) + -1(u + 6) = 0 Reorder the terms: 3(-4 + 3u) + -1(u + 6) = 0 (-4 * 3 + 3u * 3) + -1(u + 6) = 0 (-12 + 9u) + -1(u + 6) = 0 Reorder the terms: -12 + 9u + -1(6 + u) = 0 -12 + 9u + (6 * -1 + u * -1) = 0 -12 + 9u + (-6 + -1u) = 0 Reorder the terms: -12 + -6 + 9u + -1u = 0 Combine like terms: -12 + -6 = -18 -18 + 9u + -1u = 0 Combine like terms: 9u + -1u = 8u -18 + 8u = 0 Solving -18 + 8u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8u = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 8u = 0 + 18 8u = 0 + 18 Combine like terms: 0 + 18 = 18 8u = 18 Divide each side by '8'. u = 2.25 Simplifying u = 2.25
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