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Simplifying -32 = 6(v + -6) + -8v Reorder the terms: -32 = 6(-6 + v) + -8v -32 = (-6 * 6 + v * 6) + -8v -32 = (-36 + 6v) + -8v Combine like terms: 6v + -8v = -2v -32 = -36 + -2v Solving -32 = -36 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -32 + 2v = -36 + -2v + 2v Combine like terms: -2v + 2v = 0 -32 + 2v = -36 + 0 -32 + 2v = -36 Add '32' to each side of the equation. -32 + 32 + 2v = -36 + 32 Combine like terms: -32 + 32 = 0 0 + 2v = -36 + 32 2v = -36 + 32 Combine like terms: -36 + 32 = -4 2v = -4 Divide each side by '2'. v = -2 Simplifying v = -2
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