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Simplifying 2(6u + -5) = 3(5u + 8) Reorder the terms: 2(-5 + 6u) = 3(5u + 8) (-5 * 2 + 6u * 2) = 3(5u + 8) (-10 + 12u) = 3(5u + 8) Reorder the terms: -10 + 12u = 3(8 + 5u) -10 + 12u = (8 * 3 + 5u * 3) -10 + 12u = (24 + 15u) Solving -10 + 12u = 24 + 15u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15u' to each side of the equation. -10 + 12u + -15u = 24 + 15u + -15u Combine like terms: 12u + -15u = -3u -10 + -3u = 24 + 15u + -15u Combine like terms: 15u + -15u = 0 -10 + -3u = 24 + 0 -10 + -3u = 24 Add '10' to each side of the equation. -10 + 10 + -3u = 24 + 10 Combine like terms: -10 + 10 = 0 0 + -3u = 24 + 10 -3u = 24 + 10 Combine like terms: 24 + 10 = 34 -3u = 34 Divide each side by '-3'. u = -11.33333333 Simplifying u = -11.33333333
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