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Simplifying 14 + 4v = 5 + 7v Solving 14 + 4v = 5 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 14 + 4v + -7v = 5 + 7v + -7v Combine like terms: 4v + -7v = -3v 14 + -3v = 5 + 7v + -7v Combine like terms: 7v + -7v = 0 14 + -3v = 5 + 0 14 + -3v = 5 Add '-14' to each side of the equation. 14 + -14 + -3v = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -3v = 5 + -14 -3v = 5 + -14 Combine like terms: 5 + -14 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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