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Simplifying 4(1 + -2u) = 2(1u + 2) (1 * 4 + -2u * 4) = 2(1u + 2) (4 + -8u) = 2(1u + 2) Reorder the terms: 4 + -8u = 2(2 + 1u) 4 + -8u = (2 * 2 + 1u * 2) 4 + -8u = (4 + 2u) Add '-4' to each side of the equation. 4 + -4 + -8u = 4 + -4 + 2u Combine like terms: 4 + -4 = 0 0 + -8u = 4 + -4 + 2u -8u = 4 + -4 + 2u Combine like terms: 4 + -4 = 0 -8u = 0 + 2u -8u = 2u Solving -8u = 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -8u + -2u = 2u + -2u Combine like terms: -8u + -2u = -10u -10u = 2u + -2u Combine like terms: 2u + -2u = 0 -10u = 0 Divide each side by '-10'. u = 0.0 Simplifying u = 0.0
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