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Simplifying 6v + -22 = 4(v + -8) Reorder the terms: -22 + 6v = 4(v + -8) Reorder the terms: -22 + 6v = 4(-8 + v) -22 + 6v = (-8 * 4 + v * 4) -22 + 6v = (-32 + 4v) Solving -22 + 6v = -32 + 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. -22 + 6v + -4v = -32 + 4v + -4v Combine like terms: 6v + -4v = 2v -22 + 2v = -32 + 4v + -4v Combine like terms: 4v + -4v = 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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