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Simplifying 5(u + 7) = 9u + -5 Reorder the terms: 5(7 + u) = 9u + -5 (7 * 5 + u * 5) = 9u + -5 (35 + 5u) = 9u + -5 Reorder the terms: 35 + 5u = -5 + 9u Solving 35 + 5u = -5 + 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. 35 + 5u + -9u = -5 + 9u + -9u Combine like terms: 5u + -9u = -4u 35 + -4u = -5 + 9u + -9u Combine like terms: 9u + -9u = 0 35 + -4u = -5 + 0 35 + -4u = -5 Add '-35' to each side of the equation. 35 + -35 + -4u = -5 + -35 Combine like terms: 35 + -35 = 0 0 + -4u = -5 + -35 -4u = -5 + -35 Combine like terms: -5 + -35 = -40 -4u = -40 Divide each side by '-4'. u = 10 Simplifying u = 10
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