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Simplifying -32 = 8(v + -8) + -4v Reorder the terms: -32 = 8(-8 + v) + -4v -32 = (-8 * 8 + v * 8) + -4v -32 = (-64 + 8v) + -4v Combine like terms: 8v + -4v = 4v -32 = -64 + 4v Solving -32 = -64 + 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. -32 + -4v = -64 + 4v + -4v Combine like terms: 4v + -4v = 0 -32 + -4v = -64 + 0 -32 + -4v = -64 Add '32' to each side of the equation. -32 + 32 + -4v = -64 + 32 Combine like terms: -32 + 32 = 0 0 + -4v = -64 + 32 -4v = -64 + 32 Combine like terms: -64 + 32 = -32 -4v = -32 Divide each side by '-4'. v = 8 Simplifying v = 8
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