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Simplifying 2(6v + 3) = 18 + 3(16 + -3v) Reorder the terms: 2(3 + 6v) = 18 + 3(16 + -3v) (3 * 2 + 6v * 2) = 18 + 3(16 + -3v) (6 + 12v) = 18 + 3(16 + -3v) 6 + 12v = 18 + (16 * 3 + -3v * 3) 6 + 12v = 18 + (48 + -9v) Combine like terms: 18 + 48 = 66 6 + 12v = 66 + -9v Solving 6 + 12v = 66 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 6 + 12v + 9v = 66 + -9v + 9v Combine like terms: 12v + 9v = 21v 6 + 21v = 66 + -9v + 9v Combine like terms: -9v + 9v = 0 6 + 21v = 66 + 0 6 + 21v = 66 Add '-6' to each side of the equation. 6 + -6 + 21v = 66 + -6 Combine like terms: 6 + -6 = 0 0 + 21v = 66 + -6 21v = 66 + -6 Combine like terms: 66 + -6 = 60 21v = 60 Divide each side by '21'. v = 2.857142857 Simplifying v = 2.857142857
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