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Simplifying 10(2u + -3) = 3(3v + 1) Reorder the terms: 10(-3 + 2u) = 3(3v + 1) (-3 * 10 + 2u * 10) = 3(3v + 1) (-30 + 20u) = 3(3v + 1) Reorder the terms: -30 + 20u = 3(1 + 3v) -30 + 20u = (1 * 3 + 3v * 3) -30 + 20u = (3 + 9v) Solving -30 + 20u = 3 + 9v Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 20u = 3 + 30 + 9v Combine like terms: -30 + 30 = 0 0 + 20u = 3 + 30 + 9v 20u = 3 + 30 + 9v Combine like terms: 3 + 30 = 33 20u = 33 + 9v Divide each side by '20'. u = 1.65 + 0.45v Simplifying u = 1.65 + 0.45v
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