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Simplifying 4 + -4(2 + -6v) = -32 + -4v 4 + (2 * -4 + -6v * -4) = -32 + -4v 4 + (-8 + 24v) = -32 + -4v Combine like terms: 4 + -8 = -4 -4 + 24v = -32 + -4v Solving -4 + 24v = -32 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -4 + 24v + 4v = -32 + -4v + 4v Combine like terms: 24v + 4v = 28v -4 + 28v = -32 + -4v + 4v Combine like terms: -4v + 4v = 0 -4 + 28v = -32 + 0 -4 + 28v = -32 Add '4' to each side of the equation. -4 + 4 + 28v = -32 + 4 Combine like terms: -4 + 4 = 0 0 + 28v = -32 + 4 28v = -32 + 4 Combine like terms: -32 + 4 = -28 28v = -28 Divide each side by '28'. v = -1 Simplifying v = -1
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