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Simplifying 2(2v + 4) = -3(4v + 4) Reorder the terms: 2(4 + 2v) = -3(4v + 4) (4 * 2 + 2v * 2) = -3(4v + 4) (8 + 4v) = -3(4v + 4) Reorder the terms: 8 + 4v = -3(4 + 4v) 8 + 4v = (4 * -3 + 4v * -3) 8 + 4v = (-12 + -12v) Solving 8 + 4v = -12 + -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. 8 + 4v + 12v = -12 + -12v + 12v Combine like terms: 4v + 12v = 16v 8 + 16v = -12 + -12v + 12v Combine like terms: -12v + 12v = 0 8 + 16v = -12 + 0 8 + 16v = -12 Add '-8' to each side of the equation. 8 + -8 + 16v = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 16v = -12 + -8 16v = -12 + -8 Combine like terms: -12 + -8 = -20 16v = -20 Divide each side by '16'. v = -1.25 Simplifying v = -1.25
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