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Simplifying 4 + -5v + 5 = 2v + -12 Reorder the terms: 4 + 5 + -5v = 2v + -12 Combine like terms: 4 + 5 = 9 9 + -5v = 2v + -12 Reorder the terms: 9 + -5v = -12 + 2v Solving 9 + -5v = -12 + 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 + -5v + -2v = -12 + 2v + -2v Combine like terms: -5v + -2v = -7v 9 + -7v = -12 + 2v + -2v Combine like terms: 2v + -2v = 0 9 + -7v = -12 + 0 9 + -7v = -12 Add '-9' to each side of the equation. 9 + -9 + -7v = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -7v = -12 + -9 -7v = -12 + -9 Combine like terms: -12 + -9 = -21 -7v = -21 Divide each side by '-7'. v = 3 Simplifying v = 3
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