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Simplifying 2(u + -3) = 8u + 4 + -2(-5u + -1) Reorder the terms: 2(-3 + u) = 8u + 4 + -2(-5u + -1) (-3 * 2 + u * 2) = 8u + 4 + -2(-5u + -1) (-6 + 2u) = 8u + 4 + -2(-5u + -1) Reorder the terms: -6 + 2u = 8u + 4 + -2(-1 + -5u) -6 + 2u = 8u + 4 + (-1 * -2 + -5u * -2) -6 + 2u = 8u + 4 + (2 + 10u) Reorder the terms: -6 + 2u = 4 + 2 + 8u + 10u Combine like terms: 4 + 2 = 6 -6 + 2u = 6 + 8u + 10u Combine like terms: 8u + 10u = 18u -6 + 2u = 6 + 18u Solving -6 + 2u = 6 + 18u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-18u' to each side of the equation. -6 + 2u + -18u = 6 + 18u + -18u Combine like terms: 2u + -18u = -16u -6 + -16u = 6 + 18u + -18u Combine like terms: 18u + -18u = 0 -6 + -16u = 6 + 0 -6 + -16u = 6 Add '6' to each side of the equation. -6 + 6 + -16u = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -16u = 6 + 6 -16u = 6 + 6 Combine like terms: 6 + 6 = 12 -16u = 12 Divide each side by '-16'. u = -0.75 Simplifying u = -0.75
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