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