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Simplifying -6(6v + 1) = 28 + -2v Reorder the terms: -6(1 + 6v) = 28 + -2v (1 * -6 + 6v * -6) = 28 + -2v (-6 + -36v) = 28 + -2v Solving -6 + -36v = 28 + -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. -6 + -36v + 2v = 28 + -2v + 2v Combine like terms: -36v + 2v = -34v -6 + -34v = 28 + -2v + 2v Combine like terms: -2v + 2v = 0 -6 + -34v = 28 + 0 -6 + -34v = 28 Add '6' to each side of the equation. -6 + 6 + -34v = 28 + 6 Combine like terms: -6 + 6 = 0 0 + -34v = 28 + 6 -34v = 28 + 6 Combine like terms: 28 + 6 = 34 -34v = 34 Divide each side by '-34'. v = -1 Simplifying v = -1
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