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Simplifying -7v + 2 = -5v + 12 Reorder the terms: 2 + -7v = -5v + 12 Reorder the terms: 2 + -7v = 12 + -5v Solving 2 + -7v = 12 + -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. 2 + -7v + 5v = 12 + -5v + 5v Combine like terms: -7v + 5v = -2v 2 + -2v = 12 + -5v + 5v Combine like terms: -5v + 5v = 0 2 + -2v = 12 + 0 2 + -2v = 12 Add '-2' to each side of the equation. 2 + -2 + -2v = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -2v = 12 + -2 -2v = 12 + -2 Combine like terms: 12 + -2 = 10 -2v = 10 Divide each side by '-2'. v = -5 Simplifying v = -5
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