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Simplifying -2v + 4 = -6(v + 6) Reorder the terms: 4 + -2v = -6(v + 6) Reorder the terms: 4 + -2v = -6(6 + v) 4 + -2v = (6 * -6 + v * -6) 4 + -2v = (-36 + -6v) Solving 4 + -2v = -36 + -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 = -36 + -6v + 6v Combine like terms: -2v + 6v = 4v 4 + 4v = -36 + -6v + 6v Combine like terms: -6v + 6v = 0 4 + 4v = -36 + 0 4 + 4v = -36 Add '-4' to each side of the equation. 4 + -4 + 4v = -36 + -4 Combine like terms: 4 + -4 = 0 0 + 4v = -36 + -4 4v = -36 + -4 Combine like terms: -36 + -4 = -40 4v = -40 Divide each side by '4'. v = -10 Simplifying v = -10
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