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Simplifying -4(v + 6) = 2v + 12 Reorder the terms: -4(6 + v) = 2v + 12 (6 * -4 + v * -4) = 2v + 12 (-24 + -4v) = 2v + 12 Reorder the terms: -24 + -4v = 12 + 2v Solving -24 + -4v = 12 + 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. -24 + -4v + -2v = 12 + 2v + -2v Combine like terms: -4v + -2v = -6v -24 + -6v = 12 + 2v + -2v Combine like terms: 2v + -2v = 0 -24 + -6v = 12 + 0 -24 + -6v = 12 Add '24' to each side of the equation. -24 + 24 + -6v = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -6v = 12 + 24 -6v = 12 + 24 Combine like terms: 12 + 24 = 36 -6v = 36 Divide each side by '-6'. v = -6 Simplifying v = -6
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