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