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Simplifying -1 + 3v = 2(6v + 3) + 2 Reorder the terms: -1 + 3v = 2(3 + 6v) + 2 -1 + 3v = (3 * 2 + 6v * 2) + 2 -1 + 3v = (6 + 12v) + 2 Reorder the terms: -1 + 3v = 6 + 2 + 12v Combine like terms: 6 + 2 = 8 -1 + 3v = 8 + 12v Solving -1 + 3v = 8 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -1 + 3v + -12v = 8 + 12v + -12v Combine like terms: 3v + -12v = -9v -1 + -9v = 8 + 12v + -12v Combine like terms: 12v + -12v = 0 -1 + -9v = 8 + 0 -1 + -9v = 8 Add '1' to each side of the equation. -1 + 1 + -9v = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -9v = 8 + 1 -9v = 8 + 1 Combine like terms: 8 + 1 = 9 -9v = 9 Divide each side by '-9'. v = -1 Simplifying v = -1
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