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Simplifying 2(u + -1) = 2u + 9 + -3(-6u + -1) Reorder the terms: 2(-1 + u) = 2u + 9 + -3(-6u + -1) (-1 * 2 + u * 2) = 2u + 9 + -3(-6u + -1) (-2 + 2u) = 2u + 9 + -3(-6u + -1) Reorder the terms: -2 + 2u = 2u + 9 + -3(-1 + -6u) -2 + 2u = 2u + 9 + (-1 * -3 + -6u * -3) -2 + 2u = 2u + 9 + (3 + 18u) Reorder the terms: -2 + 2u = 9 + 3 + 2u + 18u Combine like terms: 9 + 3 = 12 -2 + 2u = 12 + 2u + 18u Combine like terms: 2u + 18u = 20u -2 + 2u = 12 + 20u Solving -2 + 2u = 12 + 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. -2 + 2u + -20u = 12 + 20u + -20u Combine like terms: 2u + -20u = -18u -2 + -18u = 12 + 20u + -20u Combine like terms: 20u + -20u = 0 -2 + -18u = 12 + 0 -2 + -18u = 12 Add '2' to each side of the equation. -2 + 2 + -18u = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -18u = 12 + 2 -18u = 12 + 2 Combine like terms: 12 + 2 = 14 -18u = 14 Divide each side by '-18'. u = -0.7777777778 Simplifying u = -0.7777777778
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