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Simplifying -4 = 4(v + 8) + -8v Reorder the terms: -4 = 4(8 + v) + -8v -4 = (8 * 4 + v * 4) + -8v -4 = (32 + 4v) + -8v Combine like terms: 4v + -8v = -4v -4 = 32 + -4v Solving -4 = 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 + 4v = 32 + -4v + 4v Combine like terms: -4v + 4v = 0 -4 + 4v = 32 + 0 -4 + 4v = 32 Add '4' to each side of the equation. -4 + 4 + 4v = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 4v = 32 + 4 4v = 32 + 4 Combine like terms: 32 + 4 = 36 4v = 36 Divide each side by '4'. v = 9 Simplifying v = 9
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