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Simplifying 12 + -5v = 2v + -9 Reorder the terms: 12 + -5v = -9 + 2v Solving 12 + -5v = -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. 12 + -5v + -2v = -9 + 2v + -2v Combine like terms: -5v + -2v = -7v 12 + -7v = -9 + 2v + -2v Combine like terms: 2v + -2v = 0 12 + -7v = -9 + 0 12 + -7v = -9 Add '-12' to each side of the equation. 12 + -12 + -7v = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -7v = -9 + -12 -7v = -9 + -12 Combine like terms: -9 + -12 = -21 -7v = -21 Divide each side by '-7'. v = 3 Simplifying v = 3
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