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Simplifying -6(4v + 7) + -2v = -8 + 8v Reorder the terms: -6(7 + 4v) + -2v = -8 + 8v (7 * -6 + 4v * -6) + -2v = -8 + 8v (-42 + -24v) + -2v = -8 + 8v Combine like terms: -24v + -2v = -26v -42 + -26v = -8 + 8v Solving -42 + -26v = -8 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -42 + -26v + -8v = -8 + 8v + -8v Combine like terms: -26v + -8v = -34v -42 + -34v = -8 + 8v + -8v Combine like terms: 8v + -8v = 0 -42 + -34v = -8 + 0 -42 + -34v = -8 Add '42' to each side of the equation. -42 + 42 + -34v = -8 + 42 Combine like terms: -42 + 42 = 0 0 + -34v = -8 + 42 -34v = -8 + 42 Combine like terms: -8 + 42 = 34 -34v = 34 Divide each side by '-34'. v = -1 Simplifying v = -1
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