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Simplifying -5v + -8 = -2(v + -6) Reorder the terms: -8 + -5v = -2(v + -6) Reorder the terms: -8 + -5v = -2(-6 + v) -8 + -5v = (-6 * -2 + v * -2) -8 + -5v = (12 + -2v) Solving -8 + -5v = 12 + -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. -8 + -5v + 2v = 12 + -2v + 2v Combine like terms: -5v + 2v = -3v -8 + -3v = 12 + -2v + 2v Combine like terms: -2v + 2v = 0 -8 + -3v = 12 + 0 -8 + -3v = 12 Add '8' to each side of the equation. -8 + 8 + -3v = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -3v = 12 + 8 -3v = 12 + 8 Combine like terms: 12 + 8 = 20 -3v = 20 Divide each side by '-3'. v = -6.666666667 Simplifying v = -6.666666667
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