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Simplifying 9(3 + u) = 4(3 + u) (3 * 9 + u * 9) = 4(3 + u) (27 + 9u) = 4(3 + u) 27 + 9u = (3 * 4 + u * 4) 27 + 9u = (12 + 4u) Solving 27 + 9u = 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. 27 + 9u + -4u = 12 + 4u + -4u Combine like terms: 9u + -4u = 5u 27 + 5u = 12 + 4u + -4u Combine like terms: 4u + -4u = 0 27 + 5u = 12 + 0 27 + 5u = 12 Add '-27' to each side of the equation. 27 + -27 + 5u = 12 + -27 Combine like terms: 27 + -27 = 0 0 + 5u = 12 + -27 5u = 12 + -27 Combine like terms: 12 + -27 = -15 5u = -15 Divide each side by '5'. u = -3 Simplifying u = -3
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