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Simplifying 2v + -12 = 2 + 5v + 2v Reorder the terms: -12 + 2v = 2 + 5v + 2v Combine like terms: 5v + 2v = 7v -12 + 2v = 2 + 7v Solving -12 + 2v = 2 + 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. -12 + 2v + -7v = 2 + 7v + -7v Combine like terms: 2v + -7v = -5v -12 + -5v = 2 + 7v + -7v Combine like terms: 7v + -7v = 0 -12 + -5v = 2 + 0 -12 + -5v = 2 Add '12' to each side of the equation. -12 + 12 + -5v = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -5v = 2 + 12 -5v = 2 + 12 Combine like terms: 2 + 12 = 14 -5v = 14 Divide each side by '-5'. v = -2.8 Simplifying v = -2.8
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