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Simplifying -2(3v + -6) = -2(4 + 4v) + -2v Reorder the terms: -2(-6 + 3v) = -2(4 + 4v) + -2v (-6 * -2 + 3v * -2) = -2(4 + 4v) + -2v (12 + -6v) = -2(4 + 4v) + -2v 12 + -6v = (4 * -2 + 4v * -2) + -2v 12 + -6v = (-8 + -8v) + -2v Combine like terms: -8v + -2v = -10v 12 + -6v = -8 + -10v Solving 12 + -6v = -8 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. 12 + -6v + 10v = -8 + -10v + 10v Combine like terms: -6v + 10v = 4v 12 + 4v = -8 + -10v + 10v Combine like terms: -10v + 10v = 0 12 + 4v = -8 + 0 12 + 4v = -8 Add '-12' to each side of the equation. 12 + -12 + 4v = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 4v = -8 + -12 4v = -8 + -12 Combine like terms: -8 + -12 = -20 4v = -20 Divide each side by '4'. v = -5 Simplifying v = -5
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