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