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Simplifying 3v + 4 + 3 = 14 + 4v Reorder the terms: 4 + 3 + 3v = 14 + 4v Combine like terms: 4 + 3 = 7 7 + 3v = 14 + 4v Solving 7 + 3v = 14 + 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. 7 + 3v + -4v = 14 + 4v + -4v Combine like terms: 3v + -4v = -1v 7 + -1v = 14 + 4v + -4v Combine like terms: 4v + -4v = 0 7 + -1v = 14 + 0 7 + -1v = 14 Add '-7' to each side of the equation. 7 + -7 + -1v = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 14 + -7 -1v = 14 + -7 Combine like terms: 14 + -7 = 7 -1v = 7 Divide each side by '-1'. v = -7 Simplifying v = -7
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