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Simplifying 8(3v + 8) = -40 + -2v Reorder the terms: 8(8 + 3v) = -40 + -2v (8 * 8 + 3v * 8) = -40 + -2v (64 + 24v) = -40 + -2v Solving 64 + 24v = -40 + -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. 64 + 24v + 2v = -40 + -2v + 2v Combine like terms: 24v + 2v = 26v 64 + 26v = -40 + -2v + 2v Combine like terms: -2v + 2v = 0 64 + 26v = -40 + 0 64 + 26v = -40 Add '-64' to each side of the equation. 64 + -64 + 26v = -40 + -64 Combine like terms: 64 + -64 = 0 0 + 26v = -40 + -64 26v = -40 + -64 Combine like terms: -40 + -64 = -104 26v = -104 Divide each side by '26'. v = -4 Simplifying v = -4
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