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Simplifying 6u + -9 + 3(2u + 3) = 4(u + 3) Reorder the terms: 6u + -9 + 3(3 + 2u) = 4(u + 3) 6u + -9 + (3 * 3 + 2u * 3) = 4(u + 3) 6u + -9 + (9 + 6u) = 4(u + 3) Reorder the terms: -9 + 9 + 6u + 6u = 4(u + 3) Combine like terms: -9 + 9 = 0 0 + 6u + 6u = 4(u + 3) 6u + 6u = 4(u + 3) Combine like terms: 6u + 6u = 12u 12u = 4(u + 3) Reorder the terms: 12u = 4(3 + u) 12u = (3 * 4 + u * 4) 12u = (12 + 4u) Solving 12u = 12 + 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. 12u + -4u = 12 + 4u + -4u Combine like terms: 12u + -4u = 8u 8u = 12 + 4u + -4u Combine like terms: 4u + -4u = 0 8u = 12 + 0 8u = 12 Divide each side by '8'. u = 1.5 Simplifying u = 1.5
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