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Simplifying 2v + -6 = -2v + 6 + 7 + -3 Reorder the terms: -6 + 2v = -2v + 6 + 7 + -3 Reorder the terms: -6 + 2v = 6 + 7 + -3 + -2v Combine like terms: 6 + 7 = 13 -6 + 2v = 13 + -3 + -2v Combine like terms: 13 + -3 = 10 -6 + 2v = 10 + -2v Solving -6 + 2v = 10 + -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. -6 + 2v + 2v = 10 + -2v + 2v Combine like terms: 2v + 2v = 4v -6 + 4v = 10 + -2v + 2v Combine like terms: -2v + 2v = 0 -6 + 4v = 10 + 0 -6 + 4v = 10 Add '6' to each side of the equation. -6 + 6 + 4v = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 4v = 10 + 6 4v = 10 + 6 Combine like terms: 10 + 6 = 16 4v = 16 Divide each side by '4'. v = 4 Simplifying v = 4
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