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Simplifying 3 + -4(6 + -6v) = -117 3 + (6 * -4 + -6v * -4) = -117 3 + (-24 + 24v) = -117 Combine like terms: 3 + -24 = -21 -21 + 24v = -117 Solving -21 + 24v = -117 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 24v = -117 + 21 Combine like terms: -21 + 21 = 0 0 + 24v = -117 + 21 24v = -117 + 21 Combine like terms: -117 + 21 = -96 24v = -96 Divide each side by '24'. v = -4 Simplifying v = -4
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