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Simplifying -8v + 2(7v + -7) = 6(1 + 2v) + -8v Reorder the terms: -8v + 2(-7 + 7v) = 6(1 + 2v) + -8v -8v + (-7 * 2 + 7v * 2) = 6(1 + 2v) + -8v -8v + (-14 + 14v) = 6(1 + 2v) + -8v Reorder the terms: -14 + -8v + 14v = 6(1 + 2v) + -8v Combine like terms: -8v + 14v = 6v -14 + 6v = 6(1 + 2v) + -8v -14 + 6v = (1 * 6 + 2v * 6) + -8v -14 + 6v = (6 + 12v) + -8v Combine like terms: 12v + -8v = 4v -14 + 6v = 6 + 4v Solving -14 + 6v = 6 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -14 + 6v + -4v = 6 + 4v + -4v Combine like terms: 6v + -4v = 2v -14 + 2v = 6 + 4v + -4v Combine like terms: 4v + -4v = 0 -14 + 2v = 6 + 0 -14 + 2v = 6 Add '14' to each side of the equation. -14 + 14 + 2v = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 2v = 6 + 14 2v = 6 + 14 Combine like terms: 6 + 14 = 20 2v = 20 Divide each side by '2'. v = 10 Simplifying v = 10
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