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Simplifying 12 = -6u + 2(u + 8) Reorder the terms: 12 = -6u + 2(8 + u) 12 = -6u + (8 * 2 + u * 2) 12 = -6u + (16 + 2u) Reorder the terms: 12 = 16 + -6u + 2u Combine like terms: -6u + 2u = -4u 12 = 16 + -4u Solving 12 = 16 + -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. 12 + 4u = 16 + -4u + 4u Combine like terms: -4u + 4u = 0 12 + 4u = 16 + 0 12 + 4u = 16 Add '-12' to each side of the equation. 12 + -12 + 4u = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 4u = 16 + -12 4u = 16 + -12 Combine like terms: 16 + -12 = 4 4u = 4 Divide each side by '4'. u = 1 Simplifying u = 1
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