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Simplifying 3(2u + 7) = -12 + 8u Reorder the terms: 3(7 + 2u) = -12 + 8u (7 * 3 + 2u * 3) = -12 + 8u (21 + 6u) = -12 + 8u Solving 21 + 6u = -12 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 21 + 6u + -8u = -12 + 8u + -8u Combine like terms: 6u + -8u = -2u 21 + -2u = -12 + 8u + -8u Combine like terms: 8u + -8u = 0 21 + -2u = -12 + 0 21 + -2u = -12 Add '-21' to each side of the equation. 21 + -21 + -2u = -12 + -21 Combine like terms: 21 + -21 = 0 0 + -2u = -12 + -21 -2u = -12 + -21 Combine like terms: -12 + -21 = -33 -2u = -33 Divide each side by '-2'. u = 16.5 Simplifying u = 16.5
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