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Simplifying 3v + -6 = 9v + 12 Reorder the terms: -6 + 3v = 9v + 12 Reorder the terms: -6 + 3v = 12 + 9v Solving -6 + 3v = 12 + 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 + 3v + -9v = 12 + 9v + -9v Combine like terms: 3v + -9v = -6v -6 + -6v = 12 + 9v + -9v Combine like terms: 9v + -9v = 0 -6 + -6v = 12 + 0 -6 + -6v = 12 Add '6' to each side of the equation. -6 + 6 + -6v = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -6v = 12 + 6 -6v = 12 + 6 Combine like terms: 12 + 6 = 18 -6v = 18 Divide each side by '-6'. v = -3 Simplifying v = -3
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