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Simplifying 3v + 4 = 9v + -6 Reorder the terms: 4 + 3v = 9v + -6 Reorder the terms: 4 + 3v = -6 + 9v Solving 4 + 3v = -6 + 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. 4 + 3v + -9v = -6 + 9v + -9v Combine like terms: 3v + -9v = -6v 4 + -6v = -6 + 9v + -9v Combine like terms: 9v + -9v = 0 4 + -6v = -6 + 0 4 + -6v = -6 Add '-4' to each side of the equation. 4 + -4 + -6v = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -6v = -6 + -4 -6v = -6 + -4 Combine like terms: -6 + -4 = -10 -6v = -10 Divide each side by '-6'. v = 1.666666667 Simplifying v = 1.666666667
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