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Simplifying 6(2u + -5) = 3(3u + -1) Reorder the terms: 6(-5 + 2u) = 3(3u + -1) (-5 * 6 + 2u * 6) = 3(3u + -1) (-30 + 12u) = 3(3u + -1) Reorder the terms: -30 + 12u = 3(-1 + 3u) -30 + 12u = (-1 * 3 + 3u * 3) -30 + 12u = (-3 + 9u) Solving -30 + 12u = -3 + 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. -30 + 12u + -9u = -3 + 9u + -9u Combine like terms: 12u + -9u = 3u -30 + 3u = -3 + 9u + -9u Combine like terms: 9u + -9u = 0 -30 + 3u = -3 + 0 -30 + 3u = -3 Add '30' to each side of the equation. -30 + 30 + 3u = -3 + 30 Combine like terms: -30 + 30 = 0 0 + 3u = -3 + 30 3u = -3 + 30 Combine like terms: -3 + 30 = 27 3u = 27 Divide each side by '3'. u = 9 Simplifying u = 9
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