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Simplifying -3(v + 4) = 24 + 6v Reorder the terms: -3(4 + v) = 24 + 6v (4 * -3 + v * -3) = 24 + 6v (-12 + -3v) = 24 + 6v Solving -12 + -3v = 24 + 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. -12 + -3v + -6v = 24 + 6v + -6v Combine like terms: -3v + -6v = -9v -12 + -9v = 24 + 6v + -6v Combine like terms: 6v + -6v = 0 -12 + -9v = 24 + 0 -12 + -9v = 24 Add '12' to each side of the equation. -12 + 12 + -9v = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -9v = 24 + 12 -9v = 24 + 12 Combine like terms: 24 + 12 = 36 -9v = 36 Divide each side by '-9'. v = -4 Simplifying v = -4
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