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Simplifying -5v + 7 = -5 + -3v Reorder the terms: 7 + -5v = -5 + -3v Solving 7 + -5v = -5 + -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 + -5v + 3v = -5 + -3v + 3v Combine like terms: -5v + 3v = -2v 7 + -2v = -5 + -3v + 3v Combine like terms: -3v + 3v = 0 7 + -2v = -5 + 0 7 + -2v = -5 Add '-7' to each side of the equation. 7 + -7 + -2v = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -2v = -5 + -7 -2v = -5 + -7 Combine like terms: -5 + -7 = -12 -2v = -12 Divide each side by '-2'. v = 6 Simplifying v = 6
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