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Simplifying -24 = 3(v + 4) + 6v Reorder the terms: -24 = 3(4 + v) + 6v -24 = (4 * 3 + v * 3) + 6v -24 = (12 + 3v) + 6v Combine like terms: 3v + 6v = 9v -24 = 12 + 9v Solving -24 = 12 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -24 + -9v = 12 + 9v + -9v Combine like terms: 9v + -9v = 0 -24 + -9v = 12 + 0 -24 + -9v = 12 Add '24' to each side of the equation. -24 + 24 + -9v = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -9v = 12 + 24 -9v = 12 + 24 Combine like terms: 12 + 24 = 36 -9v = 36 Divide each side by '-9'. v = -4 Simplifying v = -4
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