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Simplifying -2(v + 3) = 6v + -8 + 2(2v + 5) Reorder the terms: -2(3 + v) = 6v + -8 + 2(2v + 5) (3 * -2 + v * -2) = 6v + -8 + 2(2v + 5) (-6 + -2v) = 6v + -8 + 2(2v + 5) Reorder the terms: -6 + -2v = 6v + -8 + 2(5 + 2v) -6 + -2v = 6v + -8 + (5 * 2 + 2v * 2) -6 + -2v = 6v + -8 + (10 + 4v) Reorder the terms: -6 + -2v = -8 + 10 + 6v + 4v Combine like terms: -8 + 10 = 2 -6 + -2v = 2 + 6v + 4v Combine like terms: 6v + 4v = 10v -6 + -2v = 2 + 10v Solving -6 + -2v = 2 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -6 + -2v + -10v = 2 + 10v + -10v Combine like terms: -2v + -10v = -12v -6 + -12v = 2 + 10v + -10v Combine like terms: 10v + -10v = 0 -6 + -12v = 2 + 0 -6 + -12v = 2 Add '6' to each side of the equation. -6 + 6 + -12v = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -12v = 2 + 6 -12v = 2 + 6 Combine like terms: 2 + 6 = 8 -12v = 8 Divide each side by '-12'. v = -0.6666666667 Simplifying v = -0.6666666667
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