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Simplifying 9u + 33 = 7(u + 5) Reorder the terms: 33 + 9u = 7(u + 5) Reorder the terms: 33 + 9u = 7(5 + u) 33 + 9u = (5 * 7 + u * 7) 33 + 9u = (35 + 7u) Solving 33 + 9u = 35 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 33 + 9u + -7u = 35 + 7u + -7u Combine like terms: 9u + -7u = 2u 33 + 2u = 35 + 7u + -7u Combine like terms: 7u + -7u = 0 33 + 2u = 35 + 0 33 + 2u = 35 Add '-33' to each side of the equation. 33 + -33 + 2u = 35 + -33 Combine like terms: 33 + -33 = 0 0 + 2u = 35 + -33 2u = 35 + -33 Combine like terms: 35 + -33 = 2 2u = 2 Divide each side by '2'. u = 1 Simplifying u = 1
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