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Simplifying 6v + -3v + -10 = v + 2 Reorder the terms: -10 + 6v + -3v = v + 2 Combine like terms: 6v + -3v = 3v -10 + 3v = v + 2 Reorder the terms: -10 + 3v = 2 + v Solving -10 + 3v = 2 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -10 + 3v + -1v = 2 + v + -1v Combine like terms: 3v + -1v = 2v -10 + 2v = 2 + v + -1v Combine like terms: v + -1v = 0 -10 + 2v = 2 + 0 -10 + 2v = 2 Add '10' to each side of the equation. -10 + 10 + 2v = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 2v = 2 + 10 2v = 2 + 10 Combine like terms: 2 + 10 = 12 2v = 12 Divide each side by '2'. v = 6 Simplifying v = 6
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