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Simplifying -4v + -6 = -7(-2 + 2v) Reorder the terms: -6 + -4v = -7(-2 + 2v) -6 + -4v = (-2 * -7 + 2v * -7) -6 + -4v = (14 + -14v) Solving -6 + -4v = 14 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. -6 + -4v + 14v = 14 + -14v + 14v Combine like terms: -4v + 14v = 10v -6 + 10v = 14 + -14v + 14v Combine like terms: -14v + 14v = 0 -6 + 10v = 14 + 0 -6 + 10v = 14 Add '6' to each side of the equation. -6 + 6 + 10v = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 10v = 14 + 6 10v = 14 + 6 Combine like terms: 14 + 6 = 20 10v = 20 Divide each side by '10'. v = 2 Simplifying v = 2
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