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Simplifying 12y + 5v = 2v + -9 Reorder the terms: 5v + 12y = 2v + -9 Reorder the terms: 5v + 12y = -9 + 2v Solving 5v + 12y = -9 + 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. 5v + -2v + 12y = -9 + 2v + -2v Combine like terms: 5v + -2v = 3v 3v + 12y = -9 + 2v + -2v Combine like terms: 2v + -2v = 0 3v + 12y = -9 + 0 3v + 12y = -9 Add '-12y' to each side of the equation. 3v + 12y + -12y = -9 + -12y Combine like terms: 12y + -12y = 0 3v + 0 = -9 + -12y 3v = -9 + -12y Divide each side by '3'. v = -3 + -4y Simplifying v = -3 + -4y
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