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Simplifying 7 + -2v = -3v + -2 + 3 Reorder the terms: 7 + -2v = -2 + 3 + -3v Combine like terms: -2 + 3 = 1 7 + -2v = 1 + -3v Solving 7 + -2v = 1 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 7 + -2v + 3v = 1 + -3v + 3v Combine like terms: -2v + 3v = 1v 7 + 1v = 1 + -3v + 3v Combine like terms: -3v + 3v = 0 7 + 1v = 1 + 0 7 + 1v = 1 Add '-7' to each side of the equation. 7 + -7 + 1v = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 1v = 1 + -7 1v = 1 + -7 Combine like terms: 1 + -7 = -6 1v = -6 Divide each side by '1'. v = -6 Simplifying v = -6
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