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Simplifying 2(1 + 3v) = -4 + 4v (1 * 2 + 3v * 2) = -4 + 4v (2 + 6v) = -4 + 4v Solving 2 + 6v = -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. 2 + 6v + -4v = -4 + 4v + -4v Combine like terms: 6v + -4v = 2v 2 + 2v = -4 + 4v + -4v Combine like terms: 4v + -4v = 0 2 + 2v = -4 + 0 2 + 2v = -4 Add '-2' to each side of the equation. 2 + -2 + 2v = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 2v = -4 + -2 2v = -4 + -2 Combine like terms: -4 + -2 = -6 2v = -6 Divide each side by '2'. v = -3 Simplifying v = -3
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