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Simplifying -3v + 3 = 2(-2v + 2) + -6 Reorder the terms: 3 + -3v = 2(-2v + 2) + -6 Reorder the terms: 3 + -3v = 2(2 + -2v) + -6 3 + -3v = (2 * 2 + -2v * 2) + -6 3 + -3v = (4 + -4v) + -6 Reorder the terms: 3 + -3v = 4 + -6 + -4v Combine like terms: 4 + -6 = -2 3 + -3v = -2 + -4v Solving 3 + -3v = -2 + -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. 3 + -3v + 4v = -2 + -4v + 4v Combine like terms: -3v + 4v = 1v 3 + 1v = -2 + -4v + 4v Combine like terms: -4v + 4v = 0 3 + 1v = -2 + 0 3 + 1v = -2 Add '-3' to each side of the equation. 3 + -3 + 1v = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 1v = -2 + -3 1v = -2 + -3 Combine like terms: -2 + -3 = -5 1v = -5 Divide each side by '1'. v = -5 Simplifying v = -5
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