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