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Simplifying -8(1 + 3v) = 2(v + -4) (1 * -8 + 3v * -8) = 2(v + -4) (-8 + -24v) = 2(v + -4) Reorder the terms: -8 + -24v = 2(-4 + v) -8 + -24v = (-4 * 2 + v * 2) -8 + -24v = (-8 + 2v) Add '8' to each side of the equation. -8 + 8 + -24v = -8 + 8 + 2v Combine like terms: -8 + 8 = 0 0 + -24v = -8 + 8 + 2v -24v = -8 + 8 + 2v Combine like terms: -8 + 8 = 0 -24v = 0 + 2v -24v = 2v Solving -24v = 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -24v + -2v = 2v + -2v Combine like terms: -24v + -2v = -26v -26v = 2v + -2v Combine like terms: 2v + -2v = 0 -26v = 0 Divide each side by '-26'. v = 0 Simplifying v = 0
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