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Simplifying 4v + -12 + -7v = 6 + -2v Reorder the terms: -12 + 4v + -7v = 6 + -2v Combine like terms: 4v + -7v = -3v -12 + -3v = 6 + -2v Solving -12 + -3v = 6 + -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. -12 + -3v + 2v = 6 + -2v + 2v Combine like terms: -3v + 2v = -1v -12 + -1v = 6 + -2v + 2v Combine like terms: -2v + 2v = 0 -12 + -1v = 6 + 0 -12 + -1v = 6 Add '12' to each side of the equation. -12 + 12 + -1v = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -1v = 6 + 12 -1v = 6 + 12 Combine like terms: 6 + 12 = 18 -1v = 18 Divide each side by '-1'. v = -18 Simplifying v = -18
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