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