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Simplifying 2(u + -2) = 8u + 6 + -2(-5u + -2) Reorder the terms: 2(-2 + u) = 8u + 6 + -2(-5u + -2) (-2 * 2 + u * 2) = 8u + 6 + -2(-5u + -2) (-4 + 2u) = 8u + 6 + -2(-5u + -2) Reorder the terms: -4 + 2u = 8u + 6 + -2(-2 + -5u) -4 + 2u = 8u + 6 + (-2 * -2 + -5u * -2) -4 + 2u = 8u + 6 + (4 + 10u) Reorder the terms: -4 + 2u = 6 + 4 + 8u + 10u Combine like terms: 6 + 4 = 10 -4 + 2u = 10 + 8u + 10u Combine like terms: 8u + 10u = 18u -4 + 2u = 10 + 18u Solving -4 + 2u = 10 + 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. -4 + 2u + -18u = 10 + 18u + -18u Combine like terms: 2u + -18u = -16u -4 + -16u = 10 + 18u + -18u Combine like terms: 18u + -18u = 0 -4 + -16u = 10 + 0 -4 + -16u = 10 Add '4' to each side of the equation. -4 + 4 + -16u = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -16u = 10 + 4 -16u = 10 + 4 Combine like terms: 10 + 4 = 14 -16u = 14 Divide each side by '-16'. u = -0.875 Simplifying u = -0.875
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