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Simplifying -2 = 6(v + -3) + -8v Reorder the terms: -2 = 6(-3 + v) + -8v -2 = (-3 * 6 + v * 6) + -8v -2 = (-18 + 6v) + -8v Combine like terms: 6v + -8v = -2v -2 = -18 + -2v Solving -2 = -18 + -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. -2 + 2v = -18 + -2v + 2v Combine like terms: -2v + 2v = 0 -2 + 2v = -18 + 0 -2 + 2v = -18 Add '2' to each side of the equation. -2 + 2 + 2v = -18 + 2 Combine like terms: -2 + 2 = 0 0 + 2v = -18 + 2 2v = -18 + 2 Combine like terms: -18 + 2 = -16 2v = -16 Divide each side by '2'. v = -8 Simplifying v = -8
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