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Simplifying -2v + 7 = 5v + 14 Reorder the terms: 7 + -2v = 5v + 14 Reorder the terms: 7 + -2v = 14 + 5v Solving 7 + -2v = 14 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 7 + -2v + -5v = 14 + 5v + -5v Combine like terms: -2v + -5v = -7v 7 + -7v = 14 + 5v + -5v Combine like terms: 5v + -5v = 0 7 + -7v = 14 + 0 7 + -7v = 14 Add '-7' to each side of the equation. 7 + -7 + -7v = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -7v = 14 + -7 -7v = 14 + -7 Combine like terms: 14 + -7 = 7 -7v = 7 Divide each side by '-7'. v = -1 Simplifying v = -1
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