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Simplifying 7v + -8 = 12 + -3v Reorder the terms: -8 + 7v = 12 + -3v Solving -8 + 7v = 12 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -8 + 7v + 3v = 12 + -3v + 3v Combine like terms: 7v + 3v = 10v -8 + 10v = 12 + -3v + 3v Combine like terms: -3v + 3v = 0 -8 + 10v = 12 + 0 -8 + 10v = 12 Add '8' to each side of the equation. -8 + 8 + 10v = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 10v = 12 + 8 10v = 12 + 8 Combine like terms: 12 + 8 = 20 10v = 20 Divide each side by '10'. v = 2 Simplifying v = 2
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