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Simplifying 2v + -6v = -3(1 + -3v) + -12(v + -2) Combine like terms: 2v + -6v = -4v -4v = -3(1 + -3v) + -12(v + -2) -4v = (1 * -3 + -3v * -3) + -12(v + -2) -4v = (-3 + 9v) + -12(v + -2) Reorder the terms: -4v = -3 + 9v + -12(-2 + v) -4v = -3 + 9v + (-2 * -12 + v * -12) -4v = -3 + 9v + (24 + -12v) Reorder the terms: -4v = -3 + 24 + 9v + -12v Combine like terms: -3 + 24 = 21 -4v = 21 + 9v + -12v Combine like terms: 9v + -12v = -3v -4v = 21 + -3v Solving -4v = 21 + -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. -4v + 3v = 21 + -3v + 3v Combine like terms: -4v + 3v = -1v -1v = 21 + -3v + 3v Combine like terms: -3v + 3v = 0 -1v = 21 + 0 -1v = 21 Divide each side by '-1'. v = -21 Simplifying v = -21
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