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Simplifying -2v + 3(-2v + 2) = -2(1 + 6v) + -4v Reorder the terms: -2v + 3(2 + -2v) = -2(1 + 6v) + -4v -2v + (2 * 3 + -2v * 3) = -2(1 + 6v) + -4v -2v + (6 + -6v) = -2(1 + 6v) + -4v Reorder the terms: 6 + -2v + -6v = -2(1 + 6v) + -4v Combine like terms: -2v + -6v = -8v 6 + -8v = -2(1 + 6v) + -4v 6 + -8v = (1 * -2 + 6v * -2) + -4v 6 + -8v = (-2 + -12v) + -4v Combine like terms: -12v + -4v = -16v 6 + -8v = -2 + -16v Solving 6 + -8v = -2 + -16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16v' to each side of the equation. 6 + -8v + 16v = -2 + -16v + 16v Combine like terms: -8v + 16v = 8v 6 + 8v = -2 + -16v + 16v Combine like terms: -16v + 16v = 0 6 + 8v = -2 + 0 6 + 8v = -2 Add '-6' to each side of the equation. 6 + -6 + 8v = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 8v = -2 + -6 8v = -2 + -6 Combine like terms: -2 + -6 = -8 8v = -8 Divide each side by '8'. v = -1 Simplifying v = -1
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