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Simplifying -3(4v + 8) = -18 + -6v Reorder the terms: -3(8 + 4v) = -18 + -6v (8 * -3 + 4v * -3) = -18 + -6v (-24 + -12v) = -18 + -6v Solving -24 + -12v = -18 + -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 + -12v + 6v = -18 + -6v + 6v Combine like terms: -12v + 6v = -6v -24 + -6v = -18 + -6v + 6v Combine like terms: -6v + 6v = 0 -24 + -6v = -18 + 0 -24 + -6v = -18 Add '24' to each side of the equation. -24 + 24 + -6v = -18 + 24 Combine like terms: -24 + 24 = 0 0 + -6v = -18 + 24 -6v = -18 + 24 Combine like terms: -18 + 24 = 6 -6v = 6 Divide each side by '-6'. v = -1 Simplifying v = -1
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