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Simplifying 2u + -1 = 2(3 + -1u) + -3 Reorder the terms: -1 + 2u = 2(3 + -1u) + -3 -1 + 2u = (3 * 2 + -1u * 2) + -3 -1 + 2u = (6 + -2u) + -3 Reorder the terms: -1 + 2u = 6 + -3 + -2u Combine like terms: 6 + -3 = 3 -1 + 2u = 3 + -2u Solving -1 + 2u = 3 + -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. -1 + 2u + 2u = 3 + -2u + 2u Combine like terms: 2u + 2u = 4u -1 + 4u = 3 + -2u + 2u Combine like terms: -2u + 2u = 0 -1 + 4u = 3 + 0 -1 + 4u = 3 Add '1' to each side of the equation. -1 + 1 + 4u = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 4u = 3 + 1 4u = 3 + 1 Combine like terms: 3 + 1 = 4 4u = 4 Divide each side by '4'. u = 1 Simplifying u = 1
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