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Simplifying 3(3u + 7) = -4(3 + -2u) Reorder the terms: 3(7 + 3u) = -4(3 + -2u) (7 * 3 + 3u * 3) = -4(3 + -2u) (21 + 9u) = -4(3 + -2u) 21 + 9u = (3 * -4 + -2u * -4) 21 + 9u = (-12 + 8u) Solving 21 + 9u = -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 + 9u + -8u = -12 + 8u + -8u Combine like terms: 9u + -8u = 1u 21 + 1u = -12 + 8u + -8u Combine like terms: 8u + -8u = 0 21 + 1u = -12 + 0 21 + 1u = -12 Add '-21' to each side of the equation. 21 + -21 + 1u = -12 + -21 Combine like terms: 21 + -21 = 0 0 + 1u = -12 + -21 1u = -12 + -21 Combine like terms: -12 + -21 = -33 1u = -33 Divide each side by '1'. u = -33 Simplifying u = -33
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