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Simplifying 10(2u + -3) = 3(3u + 1) Reorder the terms: 10(-3 + 2u) = 3(3u + 1) (-3 * 10 + 2u * 10) = 3(3u + 1) (-30 + 20u) = 3(3u + 1) Reorder the terms: -30 + 20u = 3(1 + 3u) -30 + 20u = (1 * 3 + 3u * 3) -30 + 20u = (3 + 9u) Solving -30 + 20u = 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 + 20u + -9u = 3 + 9u + -9u Combine like terms: 20u + -9u = 11u -30 + 11u = 3 + 9u + -9u Combine like terms: 9u + -9u = 0 -30 + 11u = 3 + 0 -30 + 11u = 3 Add '30' to each side of the equation. -30 + 30 + 11u = 3 + 30 Combine like terms: -30 + 30 = 0 0 + 11u = 3 + 30 11u = 3 + 30 Combine like terms: 3 + 30 = 33 11u = 33 Divide each side by '11'. u = 3 Simplifying u = 3
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