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Simplifying 7u + 41 = 9(u + 5) Reorder the terms: 41 + 7u = 9(u + 5) Reorder the terms: 41 + 7u = 9(5 + u) 41 + 7u = (5 * 9 + u * 9) 41 + 7u = (45 + 9u) Solving 41 + 7u = 45 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 41 + 7u + -9u = 45 + 9u + -9u Combine like terms: 7u + -9u = -2u 41 + -2u = 45 + 9u + -9u Combine like terms: 9u + -9u = 0 41 + -2u = 45 + 0 41 + -2u = 45 Add '-41' to each side of the equation. 41 + -41 + -2u = 45 + -41 Combine like terms: 41 + -41 = 0 0 + -2u = 45 + -41 -2u = 45 + -41 Combine like terms: 45 + -41 = 4 -2u = 4 Divide each side by '-2'. u = -2 Simplifying u = -2
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