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