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Simplifying 6(2u + 1) + 2u = 6(u + 3) + -4u Reorder the terms: 6(1 + 2u) + 2u = 6(u + 3) + -4u (1 * 6 + 2u * 6) + 2u = 6(u + 3) + -4u (6 + 12u) + 2u = 6(u + 3) + -4u Combine like terms: 12u + 2u = 14u 6 + 14u = 6(u + 3) + -4u Reorder the terms: 6 + 14u = 6(3 + u) + -4u 6 + 14u = (3 * 6 + u * 6) + -4u 6 + 14u = (18 + 6u) + -4u Combine like terms: 6u + -4u = 2u 6 + 14u = 18 + 2u Solving 6 + 14u = 18 + 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. 6 + 14u + -2u = 18 + 2u + -2u Combine like terms: 14u + -2u = 12u 6 + 12u = 18 + 2u + -2u Combine like terms: 2u + -2u = 0 6 + 12u = 18 + 0 6 + 12u = 18 Add '-6' to each side of the equation. 6 + -6 + 12u = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 12u = 18 + -6 12u = 18 + -6 Combine like terms: 18 + -6 = 12 12u = 12 Divide each side by '12'. u = 1 Simplifying u = 1
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