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Simplifying 4v + -4 + 4(3v + 3) = -2(v + 2) Reorder the terms: 4v + -4 + 4(3 + 3v) = -2(v + 2) 4v + -4 + (3 * 4 + 3v * 4) = -2(v + 2) 4v + -4 + (12 + 12v) = -2(v + 2) Reorder the terms: -4 + 12 + 4v + 12v = -2(v + 2) Combine like terms: -4 + 12 = 8 8 + 4v + 12v = -2(v + 2) Combine like terms: 4v + 12v = 16v 8 + 16v = -2(v + 2) Reorder the terms: 8 + 16v = -2(2 + v) 8 + 16v = (2 * -2 + v * -2) 8 + 16v = (-4 + -2v) Solving 8 + 16v = -4 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 8 + 16v + 2v = -4 + -2v + 2v Combine like terms: 16v + 2v = 18v 8 + 18v = -4 + -2v + 2v Combine like terms: -2v + 2v = 0 8 + 18v = -4 + 0 8 + 18v = -4 Add '-8' to each side of the equation. 8 + -8 + 18v = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 18v = -4 + -8 18v = -4 + -8 Combine like terms: -4 + -8 = -12 18v = -12 Divide each side by '18'. v = -0.6666666667 Simplifying v = -0.6666666667
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