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Simplifying 4v + 9 = 2v + -15 Reorder the terms: 9 + 4v = 2v + -15 Reorder the terms: 9 + 4v = -15 + 2v Solving 9 + 4v = -15 + 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. 9 + 4v + -2v = -15 + 2v + -2v Combine like terms: 4v + -2v = 2v 9 + 2v = -15 + 2v + -2v Combine like terms: 2v + -2v = 0 9 + 2v = -15 + 0 9 + 2v = -15 Add '-9' to each side of the equation. 9 + -9 + 2v = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 2v = -15 + -9 2v = -15 + -9 Combine like terms: -15 + -9 = -24 2v = -24 Divide each side by '2'. v = -12 Simplifying v = -12
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