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Simplifying 12v + -7 = -2v + 15 + 12v Reorder the terms: -7 + 12v = -2v + 15 + 12v Reorder the terms: -7 + 12v = 15 + -2v + 12v Combine like terms: -2v + 12v = 10v -7 + 12v = 15 + 10v Solving -7 + 12v = 15 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -7 + 12v + -10v = 15 + 10v + -10v Combine like terms: 12v + -10v = 2v -7 + 2v = 15 + 10v + -10v Combine like terms: 10v + -10v = 0 -7 + 2v = 15 + 0 -7 + 2v = 15 Add '7' to each side of the equation. -7 + 7 + 2v = 15 + 7 Combine like terms: -7 + 7 = 0 0 + 2v = 15 + 7 2v = 15 + 7 Combine like terms: 15 + 7 = 22 2v = 22 Divide each side by '2'. v = 11 Simplifying v = 11
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