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Simplifying 4(6v + 2) = -32 + 4v Reorder the terms: 4(2 + 6v) = -32 + 4v (2 * 4 + 6v * 4) = -32 + 4v (8 + 24v) = -32 + 4v Solving 8 + 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. 8 + 24v + -4v = -32 + 4v + -4v Combine like terms: 24v + -4v = 20v 8 + 20v = -32 + 4v + -4v Combine like terms: 4v + -4v = 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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