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Simplifying -16 = 2(v + 8) + -6v Reorder the terms: -16 = 2(8 + v) + -6v -16 = (8 * 2 + v * 2) + -6v -16 = (16 + 2v) + -6v Combine like terms: 2v + -6v = -4v -16 = 16 + -4v Solving -16 = 16 + -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. -16 + 4v = 16 + -4v + 4v Combine like terms: -4v + 4v = 0 -16 + 4v = 16 + 0 -16 + 4v = 16 Add '16' to each side of the equation. -16 + 16 + 4v = 16 + 16 Combine like terms: -16 + 16 = 0 0 + 4v = 16 + 16 4v = 16 + 16 Combine like terms: 16 + 16 = 32 4v = 32 Divide each side by '4'. v = 8 Simplifying v = 8
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