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