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Simplifying 12v + 6 = 18 + -48 + 9v Reorder the terms: 6 + 12v = 18 + -48 + 9v Combine like terms: 18 + -48 = -30 6 + 12v = -30 + 9v Solving 6 + 12v = -30 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 6 + 12v + -9v = -30 + 9v + -9v Combine like terms: 12v + -9v = 3v 6 + 3v = -30 + 9v + -9v Combine like terms: 9v + -9v = 0 6 + 3v = -30 + 0 6 + 3v = -30 Add '-6' to each side of the equation. 6 + -6 + 3v = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 3v = -30 + -6 3v = -30 + -6 Combine like terms: -30 + -6 = -36 3v = -36 Divide each side by '3'. v = -12 Simplifying v = -12
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