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Simplifying 12 = 7v + -4v Combine like terms: 7v + -4v = 3v 12 = 3v Solving 12 = 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. 12 + -3v = 3v + -3v Combine like terms: 3v + -3v = 0 12 + -3v = 0 Add '-12' to each side of the equation. 12 + -12 + -3v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3v = 0 + -12 -3v = 0 + -12 Combine like terms: 0 + -12 = -12 -3v = -12 Divide each side by '-3'. v = 4 Simplifying v = 4
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