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Simplifying 3v + 7 = -2v + -8 Reorder the terms: 7 + 3v = -2v + -8 Reorder the terms: 7 + 3v = -8 + -2v Solving 7 + 3v = -8 + -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. 7 + 3v + 2v = -8 + -2v + 2v Combine like terms: 3v + 2v = 5v 7 + 5v = -8 + -2v + 2v Combine like terms: -2v + 2v = 0 7 + 5v = -8 + 0 7 + 5v = -8 Add '-7' to each side of the equation. 7 + -7 + 5v = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 5v = -8 + -7 5v = -8 + -7 Combine like terms: -8 + -7 = -15 5v = -15 Divide each side by '5'. v = -3 Simplifying v = -3
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