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Simplifying 2(u + -1) = 4u + 3 + -2(-8u + -5) Reorder the terms: 2(-1 + u) = 4u + 3 + -2(-8u + -5) (-1 * 2 + u * 2) = 4u + 3 + -2(-8u + -5) (-2 + 2u) = 4u + 3 + -2(-8u + -5) Reorder the terms: -2 + 2u = 4u + 3 + -2(-5 + -8u) -2 + 2u = 4u + 3 + (-5 * -2 + -8u * -2) -2 + 2u = 4u + 3 + (10 + 16u) Reorder the terms: -2 + 2u = 3 + 10 + 4u + 16u Combine like terms: 3 + 10 = 13 -2 + 2u = 13 + 4u + 16u Combine like terms: 4u + 16u = 20u -2 + 2u = 13 + 20u Solving -2 + 2u = 13 + 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 = 13 + 20u + -20u Combine like terms: 2u + -20u = -18u -2 + -18u = 13 + 20u + -20u Combine like terms: 20u + -20u = 0 -2 + -18u = 13 + 0 -2 + -18u = 13 Add '2' to each side of the equation. -2 + 2 + -18u = 13 + 2 Combine like terms: -2 + 2 = 0 0 + -18u = 13 + 2 -18u = 13 + 2 Combine like terms: 13 + 2 = 15 -18u = 15 Divide each side by '-18'. u = -0.8333333333 Simplifying u = -0.8333333333
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