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Simplifying 8 + -4v = -4(6v + 8) Reorder the terms: 8 + -4v = -4(8 + 6v) 8 + -4v = (8 * -4 + 6v * -4) 8 + -4v = (-32 + -24v) Solving 8 + -4v = -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. 8 + -4v + 24v = -32 + -24v + 24v Combine like terms: -4v + 24v = 20v 8 + 20v = -32 + -24v + 24v Combine like terms: -24v + 24v = 0 8 + 20v = -32 + 0 8 + 20v = -32 Add '-8' to each side of the equation. 8 + -8 + 20v = -32 + -8 Combine like terms: 8 + -8 = 0 0 + 20v = -32 + -8 20v = -32 + -8 Combine like terms: -32 + -8 = -40 20v = -40 Divide each side by '20'. v = -2 Simplifying v = -2
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