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