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Simplifying -6(4u + -1) + 3u = -3(u + 3) Reorder the terms: -6(-1 + 4u) + 3u = -3(u + 3) (-1 * -6 + 4u * -6) + 3u = -3(u + 3) (6 + -24u) + 3u = -3(u + 3) Combine like terms: -24u + 3u = -21u 6 + -21u = -3(u + 3) Reorder the terms: 6 + -21u = -3(3 + u) 6 + -21u = (3 * -3 + u * -3) 6 + -21u = (-9 + -3u) Solving 6 + -21u = -9 + -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. 6 + -21u + 3u = -9 + -3u + 3u Combine like terms: -21u + 3u = -18u 6 + -18u = -9 + -3u + 3u Combine like terms: -3u + 3u = 0 6 + -18u = -9 + 0 6 + -18u = -9 Add '-6' to each side of the equation. 6 + -6 + -18u = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -18u = -9 + -6 -18u = -9 + -6 Combine like terms: -9 + -6 = -15 -18u = -15 Divide each side by '-18'. u = 0.8333333333 Simplifying u = 0.8333333333
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