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Simplifying 3 = v + 7 + 3v Reorder the terms: 3 = 7 + v + 3v Combine like terms: v + 3v = 4v 3 = 7 + 4v Solving 3 = 7 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 3 + -4v = 7 + 4v + -4v Combine like terms: 4v + -4v = 0 3 + -4v = 7 + 0 3 + -4v = 7 Add '-3' to each side of the equation. 3 + -3 + -4v = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -4v = 7 + -3 -4v = 7 + -3 Combine like terms: 7 + -3 = 4 -4v = 4 Divide each side by '-4'. v = -1 Simplifying v = -1
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