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Simplifying -32 = 6(v + -8) + -8v Reorder the terms: -32 = 6(-8 + v) + -8v -32 = (-8 * 6 + v * 6) + -8v -32 = (-48 + 6v) + -8v Combine like terms: 6v + -8v = -2v -32 = -48 + -2v Solving -32 = -48 + -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 = -48 + -2v + 2v Combine like terms: -2v + 2v = 0 -32 + 2v = -48 + 0 -32 + 2v = -48 Add '32' to each side of the equation. -32 + 32 + 2v = -48 + 32 Combine like terms: -32 + 32 = 0 0 + 2v = -48 + 32 2v = -48 + 32 Combine like terms: -48 + 32 = -16 2v = -16 Divide each side by '2'. v = -8 Simplifying v = -8
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