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Simplifying -3(v + 8) = -32 + -7v Reorder the terms: -3(8 + v) = -32 + -7v (8 * -3 + v * -3) = -32 + -7v (-24 + -3v) = -32 + -7v Solving -24 + -3v = -32 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -24 + -3v + 7v = -32 + -7v + 7v Combine like terms: -3v + 7v = 4v -24 + 4v = -32 + -7v + 7v Combine like terms: -7v + 7v = 0 -24 + 4v = -32 + 0 -24 + 4v = -32 Add '24' to each side of the equation. -24 + 24 + 4v = -32 + 24 Combine like terms: -24 + 24 = 0 0 + 4v = -32 + 24 4v = -32 + 24 Combine like terms: -32 + 24 = -8 4v = -8 Divide each side by '4'. v = -2 Simplifying v = -2
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