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Simplifying 12v + 6 = 2(5 + 7v) Reorder the terms: 6 + 12v = 2(5 + 7v) 6 + 12v = (5 * 2 + 7v * 2) 6 + 12v = (10 + 14v) Solving 6 + 12v = 10 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 6 + 12v + -14v = 10 + 14v + -14v Combine like terms: 12v + -14v = -2v 6 + -2v = 10 + 14v + -14v Combine like terms: 14v + -14v = 0 6 + -2v = 10 + 0 6 + -2v = 10 Add '-6' to each side of the equation. 6 + -6 + -2v = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -2v = 10 + -6 -2v = 10 + -6 Combine like terms: 10 + -6 = 4 -2v = 4 Divide each side by '-2'. v = -2 Simplifying v = -2
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