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Simplifying 5(u + 5) = 7u + 17 Reorder the terms: 5(5 + u) = 7u + 17 (5 * 5 + u * 5) = 7u + 17 (25 + 5u) = 7u + 17 Reorder the terms: 25 + 5u = 17 + 7u Solving 25 + 5u = 17 + 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. 25 + 5u + -7u = 17 + 7u + -7u Combine like terms: 5u + -7u = -2u 25 + -2u = 17 + 7u + -7u Combine like terms: 7u + -7u = 0 25 + -2u = 17 + 0 25 + -2u = 17 Add '-25' to each side of the equation. 25 + -25 + -2u = 17 + -25 Combine like terms: 25 + -25 = 0 0 + -2u = 17 + -25 -2u = 17 + -25 Combine like terms: 17 + -25 = -8 -2u = -8 Divide each side by '-2'. u = 4 Simplifying u = 4
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