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Simplifying -7(-7 + -6v) = 9 + 2v (-7 * -7 + -6v * -7) = 9 + 2v (49 + 42v) = 9 + 2v Solving 49 + 42v = 9 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 49 + 42v + -2v = 9 + 2v + -2v Combine like terms: 42v + -2v = 40v 49 + 40v = 9 + 2v + -2v Combine like terms: 2v + -2v = 0 49 + 40v = 9 + 0 49 + 40v = 9 Add '-49' to each side of the equation. 49 + -49 + 40v = 9 + -49 Combine like terms: 49 + -49 = 0 0 + 40v = 9 + -49 40v = 9 + -49 Combine like terms: 9 + -49 = -40 40v = -40 Divide each side by '40'. v = -1 Simplifying v = -1
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