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Simplifying 3(2u + 1) = -15(5u + 16) Reorder the terms: 3(1 + 2u) = -15(5u + 16) (1 * 3 + 2u * 3) = -15(5u + 16) (3 + 6u) = -15(5u + 16) Reorder the terms: 3 + 6u = -15(16 + 5u) 3 + 6u = (16 * -15 + 5u * -15) 3 + 6u = (-240 + -75u) Solving 3 + 6u = -240 + -75u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '75u' to each side of the equation. 3 + 6u + 75u = -240 + -75u + 75u Combine like terms: 6u + 75u = 81u 3 + 81u = -240 + -75u + 75u Combine like terms: -75u + 75u = 0 3 + 81u = -240 + 0 3 + 81u = -240 Add '-3' to each side of the equation. 3 + -3 + 81u = -240 + -3 Combine like terms: 3 + -3 = 0 0 + 81u = -240 + -3 81u = -240 + -3 Combine like terms: -240 + -3 = -243 81u = -243 Divide each side by '81'. u = -3 Simplifying u = -3
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