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Simplifying -22 = 4(v + -8) + -6v Reorder the terms: -22 = 4(-8 + v) + -6v -22 = (-8 * 4 + v * 4) + -6v -22 = (-32 + 4v) + -6v Combine like terms: 4v + -6v = -2v -22 = -32 + -2v Solving -22 = -32 + -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. -22 + 2v = -32 + -2v + 2v Combine like terms: -2v + 2v = 0 -22 + 2v = -32 + 0 -22 + 2v = -32 Add '22' to each side of the equation. -22 + 22 + 2v = -32 + 22 Combine like terms: -22 + 22 = 0 0 + 2v = -32 + 22 2v = -32 + 22 Combine like terms: -32 + 22 = -10 2v = -10 Divide each side by '2'. v = -5 Simplifying v = -5
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