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Simplifying -6 = -6v + 4(v + -2) Reorder the terms: -6 = -6v + 4(-2 + v) -6 = -6v + (-2 * 4 + v * 4) -6 = -6v + (-8 + 4v) Reorder the terms: -6 = -8 + -6v + 4v Combine like terms: -6v + 4v = -2v -6 = -8 + -2v Solving -6 = -8 + -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. -6 + 2v = -8 + -2v + 2v Combine like terms: -2v + 2v = 0 -6 + 2v = -8 + 0 -6 + 2v = -8 Add '6' to each side of the equation. -6 + 6 + 2v = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 2v = -8 + 6 2v = -8 + 6 Combine like terms: -8 + 6 = -2 2v = -2 Divide each side by '2'. v = -1 Simplifying v = -1
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