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Simplifying 6(12v + 10) = 5(2 + 9v) Reorder the terms: 6(10 + 12v) = 5(2 + 9v) (10 * 6 + 12v * 6) = 5(2 + 9v) (60 + 72v) = 5(2 + 9v) 60 + 72v = (2 * 5 + 9v * 5) 60 + 72v = (10 + 45v) Solving 60 + 72v = 10 + 45v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-45v' to each side of the equation. 60 + 72v + -45v = 10 + 45v + -45v Combine like terms: 72v + -45v = 27v 60 + 27v = 10 + 45v + -45v Combine like terms: 45v + -45v = 0 60 + 27v = 10 + 0 60 + 27v = 10 Add '-60' to each side of the equation. 60 + -60 + 27v = 10 + -60 Combine like terms: 60 + -60 = 0 0 + 27v = 10 + -60 27v = 10 + -60 Combine like terms: 10 + -60 = -50 27v = -50 Divide each side by '27'. v = -1.851851852 Simplifying v = -1.851851852
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