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Simplifying 3v + 7 = 5v + -9 Reorder the terms: 7 + 3v = 5v + -9 Reorder the terms: 7 + 3v = -9 + 5v Solving 7 + 3v = -9 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 7 + 3v + -5v = -9 + 5v + -5v Combine like terms: 3v + -5v = -2v 7 + -2v = -9 + 5v + -5v Combine like terms: 5v + -5v = 0 7 + -2v = -9 + 0 7 + -2v = -9 Add '-7' to each side of the equation. 7 + -7 + -2v = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -2v = -9 + -7 -2v = -9 + -7 Combine like terms: -9 + -7 = -16 -2v = -16 Divide each side by '-2'. v = 8 Simplifying v = 8
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