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Simplifying -4(v + 2) = -6v + 12 Reorder the terms: -4(2 + v) = -6v + 12 (2 * -4 + v * -4) = -6v + 12 (-8 + -4v) = -6v + 12 Reorder the terms: -8 + -4v = 12 + -6v Solving -8 + -4v = 12 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -8 + -4v + 6v = 12 + -6v + 6v Combine like terms: -4v + 6v = 2v -8 + 2v = 12 + -6v + 6v Combine like terms: -6v + 6v = 0 -8 + 2v = 12 + 0 -8 + 2v = 12 Add '8' to each side of the equation. -8 + 8 + 2v = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 2v = 12 + 8 2v = 12 + 8 Combine like terms: 12 + 8 = 20 2v = 20 Divide each side by '2'. v = 10 Simplifying v = 10
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