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Simplifying v + 8 = 2v + -8 + 12 Reorder the terms: 8 + v = 2v + -8 + 12 Reorder the terms: 8 + v = -8 + 12 + 2v Combine like terms: -8 + 12 = 4 8 + v = 4 + 2v Solving 8 + v = 4 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 8 + v + -2v = 4 + 2v + -2v Combine like terms: v + -2v = -1v 8 + -1v = 4 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + -1v = 4 + 0 8 + -1v = 4 Add '-8' to each side of the equation. 8 + -8 + -1v = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 4 + -8 -1v = 4 + -8 Combine like terms: 4 + -8 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4
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