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Simplifying 4 = 2(v + -3) + -4v Reorder the terms: 4 = 2(-3 + v) + -4v 4 = (-3 * 2 + v * 2) + -4v 4 = (-6 + 2v) + -4v Combine like terms: 2v + -4v = -2v 4 = -6 + -2v Solving 4 = -6 + -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. 4 + 2v = -6 + -2v + 2v Combine like terms: -2v + 2v = 0 4 + 2v = -6 + 0 4 + 2v = -6 Add '-4' to each side of the equation. 4 + -4 + 2v = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 2v = -6 + -4 2v = -6 + -4 Combine like terms: -6 + -4 = -10 2v = -10 Divide each side by '2'. v = -5 Simplifying v = -5
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