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Simplifying 7 = 6v + -4v + 3 Reorder the terms: 7 = 3 + 6v + -4v Combine like terms: 6v + -4v = 2v 7 = 3 + 2v Solving 7 = 3 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 7 + -2v = 3 + 2v + -2v Combine like terms: 2v + -2v = 0 7 + -2v = 3 + 0 7 + -2v = 3 Add '-7' to each side of the equation. 7 + -7 + -2v = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -2v = 3 + -7 -2v = 3 + -7 Combine like terms: 3 + -7 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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