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Simplifying -52 = 4(v + -8) Reorder the terms: -52 = 4(-8 + v) -52 = (-8 * 4 + v * 4) -52 = (-32 + 4v) Solving -52 = -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. -52 + -4v = -32 + 4v + -4v Combine like terms: 4v + -4v = 0 -52 + -4v = -32 + 0 -52 + -4v = -32 Add '52' to each side of the equation. -52 + 52 + -4v = -32 + 52 Combine like terms: -52 + 52 = 0 0 + -4v = -32 + 52 -4v = -32 + 52 Combine like terms: -32 + 52 = 20 -4v = 20 Divide each side by '-4'. v = -5 Simplifying v = -5
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