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Simplifying 2(u + -2) = 2u + 2 + -6(-3u + -1) Reorder the terms: 2(-2 + u) = 2u + 2 + -6(-3u + -1) (-2 * 2 + u * 2) = 2u + 2 + -6(-3u + -1) (-4 + 2u) = 2u + 2 + -6(-3u + -1) Reorder the terms: -4 + 2u = 2u + 2 + -6(-1 + -3u) -4 + 2u = 2u + 2 + (-1 * -6 + -3u * -6) -4 + 2u = 2u + 2 + (6 + 18u) Reorder the terms: -4 + 2u = 2 + 6 + 2u + 18u Combine like terms: 2 + 6 = 8 -4 + 2u = 8 + 2u + 18u Combine like terms: 2u + 18u = 20u -4 + 2u = 8 + 20u Solving -4 + 2u = 8 + 20u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-20u' to each side of the equation. -4 + 2u + -20u = 8 + 20u + -20u Combine like terms: 2u + -20u = -18u -4 + -18u = 8 + 20u + -20u Combine like terms: 20u + -20u = 0 -4 + -18u = 8 + 0 -4 + -18u = 8 Add '4' to each side of the equation. -4 + 4 + -18u = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -18u = 8 + 4 -18u = 8 + 4 Combine like terms: 8 + 4 = 12 -18u = 12 Divide each side by '-18'. u = -0.6666666667 Simplifying u = -0.6666666667
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