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Simplifying 5(u + 8) = 7u + 34 Reorder the terms: 5(8 + u) = 7u + 34 (8 * 5 + u * 5) = 7u + 34 (40 + 5u) = 7u + 34 Reorder the terms: 40 + 5u = 34 + 7u Solving 40 + 5u = 34 + 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. 40 + 5u + -7u = 34 + 7u + -7u Combine like terms: 5u + -7u = -2u 40 + -2u = 34 + 7u + -7u Combine like terms: 7u + -7u = 0 40 + -2u = 34 + 0 40 + -2u = 34 Add '-40' to each side of the equation. 40 + -40 + -2u = 34 + -40 Combine like terms: 40 + -40 = 0 0 + -2u = 34 + -40 -2u = 34 + -40 Combine like terms: 34 + -40 = -6 -2u = -6 Divide each side by '-2'. u = 3 Simplifying u = 3
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