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Simplifying -4(8v + -1) = 32 + -4v Reorder the terms: -4(-1 + 8v) = 32 + -4v (-1 * -4 + 8v * -4) = 32 + -4v (4 + -32v) = 32 + -4v Solving 4 + -32v = 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 + -32v + 4v = 32 + -4v + 4v Combine like terms: -32v + 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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