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Simplifying -6(7 + -6v) = 26 + 2v (7 * -6 + -6v * -6) = 26 + 2v (-42 + 36v) = 26 + 2v Solving -42 + 36v = 26 + 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. -42 + 36v + -2v = 26 + 2v + -2v Combine like terms: 36v + -2v = 34v -42 + 34v = 26 + 2v + -2v Combine like terms: 2v + -2v = 0 -42 + 34v = 26 + 0 -42 + 34v = 26 Add '42' to each side of the equation. -42 + 42 + 34v = 26 + 42 Combine like terms: -42 + 42 = 0 0 + 34v = 26 + 42 34v = 26 + 42 Combine like terms: 26 + 42 = 68 34v = 68 Divide each side by '34'. v = 2 Simplifying v = 2
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