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Simplifying 2v + 4(8v + -8) = -32 + -8v Reorder the terms: 2v + 4(-8 + 8v) = -32 + -8v 2v + (-8 * 4 + 8v * 4) = -32 + -8v 2v + (-32 + 32v) = -32 + -8v Reorder the terms: -32 + 2v + 32v = -32 + -8v Combine like terms: 2v + 32v = 34v -32 + 34v = -32 + -8v Add '32' to each side of the equation. -32 + 32 + 34v = -32 + 32 + -8v Combine like terms: -32 + 32 = 0 0 + 34v = -32 + 32 + -8v 34v = -32 + 32 + -8v Combine like terms: -32 + 32 = 0 34v = 0 + -8v 34v = -8v Solving 34v = -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 34v + 8v = -8v + 8v Combine like terms: 34v + 8v = 42v 42v = -8v + 8v Combine like terms: -8v + 8v = 0 42v = 0 Divide each side by '42'. v = 0 Simplifying v = 0
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