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Simplifying 5(2u + 1) = 5(4u + 3) Reorder the terms: 5(1 + 2u) = 5(4u + 3) (1 * 5 + 2u * 5) = 5(4u + 3) (5 + 10u) = 5(4u + 3) Reorder the terms: 5 + 10u = 5(3 + 4u) 5 + 10u = (3 * 5 + 4u * 5) 5 + 10u = (15 + 20u) Solving 5 + 10u = 15 + 20u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-20u' to each side of the equation. 5 + 10u + -20u = 15 + 20u + -20u Combine like terms: 10u + -20u = -10u 5 + -10u = 15 + 20u + -20u Combine like terms: 20u + -20u = 0 5 + -10u = 15 + 0 5 + -10u = 15 Add '-5' to each side of the equation. 5 + -5 + -10u = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -10u = 15 + -5 -10u = 15 + -5 Combine like terms: 15 + -5 = 10 -10u = 10 Divide each side by '-10'. u = -1 Simplifying u = -1
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