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Simplifying -3(-6 + -8v) = -3 + 3v (-6 * -3 + -8v * -3) = -3 + 3v (18 + 24v) = -3 + 3v Solving 18 + 24v = -3 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 18 + 24v + -3v = -3 + 3v + -3v Combine like terms: 24v + -3v = 21v 18 + 21v = -3 + 3v + -3v Combine like terms: 3v + -3v = 0 18 + 21v = -3 + 0 18 + 21v = -3 Add '-18' to each side of the equation. 18 + -18 + 21v = -3 + -18 Combine like terms: 18 + -18 = 0 0 + 21v = -3 + -18 21v = -3 + -18 Combine like terms: -3 + -18 = -21 21v = -21 Divide each side by '21'. v = -1 Simplifying v = -1
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