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Simplifying 2v + -4 = 2(3v + -6) Reorder the terms: -4 + 2v = 2(3v + -6) Reorder the terms: -4 + 2v = 2(-6 + 3v) -4 + 2v = (-6 * 2 + 3v * 2) -4 + 2v = (-12 + 6v) Solving -4 + 2v = -12 + 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. -4 + 2v + -6v = -12 + 6v + -6v Combine like terms: 2v + -6v = -4v -4 + -4v = -12 + 6v + -6v Combine like terms: 6v + -6v = 0 -4 + -4v = -12 + 0 -4 + -4v = -12 Add '4' to each side of the equation. -4 + 4 + -4v = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -4v = -12 + 4 -4v = -12 + 4 Combine like terms: -12 + 4 = -8 -4v = -8 Divide each side by '-4'. v = 2 Simplifying v = 2
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