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Simplifying 8 = 2(v + -2) + -6v Reorder the terms: 8 = 2(-2 + v) + -6v 8 = (-2 * 2 + v * 2) + -6v 8 = (-4 + 2v) + -6v Combine like terms: 2v + -6v = -4v 8 = -4 + -4v Solving 8 = -4 + -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. 8 + 4v = -4 + -4v + 4v Combine like terms: -4v + 4v = 0 8 + 4v = -4 + 0 8 + 4v = -4 Add '-8' to each side of the equation. 8 + -8 + 4v = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 4v = -4 + -8 4v = -4 + -8 Combine like terms: -4 + -8 = -12 4v = -12 Divide each side by '4'. v = -3 Simplifying v = -3
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