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Simplifying 5(u + 1) = 9u + 21 Reorder the terms: 5(1 + u) = 9u + 21 (1 * 5 + u * 5) = 9u + 21 (5 + 5u) = 9u + 21 Reorder the terms: 5 + 5u = 21 + 9u Solving 5 + 5u = 21 + 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. 5 + 5u + -9u = 21 + 9u + -9u Combine like terms: 5u + -9u = -4u 5 + -4u = 21 + 9u + -9u Combine like terms: 9u + -9u = 0 5 + -4u = 21 + 0 5 + -4u = 21 Add '-5' to each side of the equation. 5 + -5 + -4u = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -4u = 21 + -5 -4u = 21 + -5 Combine like terms: 21 + -5 = 16 -4u = 16 Divide each side by '-4'. u = -4 Simplifying u = -4
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