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Simplifying -2v + 2 = 7(2v + -2) Reorder the terms: 2 + -2v = 7(2v + -2) Reorder the terms: 2 + -2v = 7(-2 + 2v) 2 + -2v = (-2 * 7 + 2v * 7) 2 + -2v = (-14 + 14v) Solving 2 + -2v = -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. 2 + -2v + -14v = -14 + 14v + -14v Combine like terms: -2v + -14v = -16v 2 + -16v = -14 + 14v + -14v Combine like terms: 14v + -14v = 0 2 + -16v = -14 + 0 2 + -16v = -14 Add '-2' to each side of the equation. 2 + -2 + -16v = -14 + -2 Combine like terms: 2 + -2 = 0 0 + -16v = -14 + -2 -16v = -14 + -2 Combine like terms: -14 + -2 = -16 -16v = -16 Divide each side by '-16'. v = 1 Simplifying v = 1
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