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Simplifying 3(u + -1) = 9u + 5 + -3(-4u + -2) Reorder the terms: 3(-1 + u) = 9u + 5 + -3(-4u + -2) (-1 * 3 + u * 3) = 9u + 5 + -3(-4u + -2) (-3 + 3u) = 9u + 5 + -3(-4u + -2) Reorder the terms: -3 + 3u = 9u + 5 + -3(-2 + -4u) -3 + 3u = 9u + 5 + (-2 * -3 + -4u * -3) -3 + 3u = 9u + 5 + (6 + 12u) Reorder the terms: -3 + 3u = 5 + 6 + 9u + 12u Combine like terms: 5 + 6 = 11 -3 + 3u = 11 + 9u + 12u Combine like terms: 9u + 12u = 21u -3 + 3u = 11 + 21u Solving -3 + 3u = 11 + 21u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-21u' to each side of the equation. -3 + 3u + -21u = 11 + 21u + -21u Combine like terms: 3u + -21u = -18u -3 + -18u = 11 + 21u + -21u Combine like terms: 21u + -21u = 0 -3 + -18u = 11 + 0 -3 + -18u = 11 Add '3' to each side of the equation. -3 + 3 + -18u = 11 + 3 Combine like terms: -3 + 3 = 0 0 + -18u = 11 + 3 -18u = 11 + 3 Combine like terms: 11 + 3 = 14 -18u = 14 Divide each side by '-18'. u = -0.7777777778 Simplifying u = -0.7777777778
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