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Simplifying -16 = 8(v + 4) + 8v Reorder the terms: -16 = 8(4 + v) + 8v -16 = (4 * 8 + v * 8) + 8v -16 = (32 + 8v) + 8v Combine like terms: 8v + 8v = 16v -16 = 32 + 16v Solving -16 = 32 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -16 + -16v = 32 + 16v + -16v Combine like terms: 16v + -16v = 0 -16 + -16v = 32 + 0 -16 + -16v = 32 Add '16' to each side of the equation. -16 + 16 + -16v = 32 + 16 Combine like terms: -16 + 16 = 0 0 + -16v = 32 + 16 -16v = 32 + 16 Combine like terms: 32 + 16 = 48 -16v = 48 Divide each side by '-16'. v = -3 Simplifying v = -3
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