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Simplifying -6(2v + 7) = -26 + -4v Reorder the terms: -6(7 + 2v) = -26 + -4v (7 * -6 + 2v * -6) = -26 + -4v (-42 + -12v) = -26 + -4v Solving -42 + -12v = -26 + -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. -42 + -12v + 4v = -26 + -4v + 4v Combine like terms: -12v + 4v = -8v -42 + -8v = -26 + -4v + 4v Combine like terms: -4v + 4v = 0 -42 + -8v = -26 + 0 -42 + -8v = -26 Add '42' to each side of the equation. -42 + 42 + -8v = -26 + 42 Combine like terms: -42 + 42 = 0 0 + -8v = -26 + 42 -8v = -26 + 42 Combine like terms: -26 + 42 = 16 -8v = 16 Divide each side by '-8'. v = -2 Simplifying v = -2
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