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Simplifying 3(-3 + -8v) = -6v + 27 (-3 * 3 + -8v * 3) = -6v + 27 (-9 + -24v) = -6v + 27 Reorder the terms: -9 + -24v = 27 + -6v Solving -9 + -24v = 27 + -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. -9 + -24v + 6v = 27 + -6v + 6v Combine like terms: -24v + 6v = -18v -9 + -18v = 27 + -6v + 6v Combine like terms: -6v + 6v = 0 -9 + -18v = 27 + 0 -9 + -18v = 27 Add '9' to each side of the equation. -9 + 9 + -18v = 27 + 9 Combine like terms: -9 + 9 = 0 0 + -18v = 27 + 9 -18v = 27 + 9 Combine like terms: 27 + 9 = 36 -18v = 36 Divide each side by '-18'. v = -2 Simplifying v = -2
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