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Simplifying 6v + -7(2v + 7) = -105 Reorder the terms: 6v + -7(7 + 2v) = -105 6v + (7 * -7 + 2v * -7) = -105 6v + (-49 + -14v) = -105 Reorder the terms: -49 + 6v + -14v = -105 Combine like terms: 6v + -14v = -8v -49 + -8v = -105 Solving -49 + -8v = -105 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -8v = -105 + 49 Combine like terms: -49 + 49 = 0 0 + -8v = -105 + 49 -8v = -105 + 49 Combine like terms: -105 + 49 = -56 -8v = -56 Divide each side by '-8'. v = 7 Simplifying v = 7
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