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Simplifying 2u + 12 = 6(u + 6) Reorder the terms: 12 + 2u = 6(u + 6) Reorder the terms: 12 + 2u = 6(6 + u) 12 + 2u = (6 * 6 + u * 6) 12 + 2u = (36 + 6u) Solving 12 + 2u = 36 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 12 + 2u + -6u = 36 + 6u + -6u Combine like terms: 2u + -6u = -4u 12 + -4u = 36 + 6u + -6u Combine like terms: 6u + -6u = 0 12 + -4u = 36 + 0 12 + -4u = 36 Add '-12' to each side of the equation. 12 + -12 + -4u = 36 + -12 Combine like terms: 12 + -12 = 0 0 + -4u = 36 + -12 -4u = 36 + -12 Combine like terms: 36 + -12 = 24 -4u = 24 Divide each side by '-4'. u = -6 Simplifying u = -6
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