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Simplifying -2 + 6v = -8(3v + 4) Reorder the terms: -2 + 6v = -8(4 + 3v) -2 + 6v = (4 * -8 + 3v * -8) -2 + 6v = (-32 + -24v) Solving -2 + 6v = -32 + -24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24v' to each side of the equation. -2 + 6v + 24v = -32 + -24v + 24v Combine like terms: 6v + 24v = 30v -2 + 30v = -32 + -24v + 24v Combine like terms: -24v + 24v = 0 -2 + 30v = -32 + 0 -2 + 30v = -32 Add '2' to each side of the equation. -2 + 2 + 30v = -32 + 2 Combine like terms: -2 + 2 = 0 0 + 30v = -32 + 2 30v = -32 + 2 Combine like terms: -32 + 2 = -30 30v = -30 Divide each side by '30'. v = -1 Simplifying v = -1
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