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Simplifying 6v + -6 + 2(3v + 7) = -2(v + 4) Reorder the terms: 6v + -6 + 2(7 + 3v) = -2(v + 4) 6v + -6 + (7 * 2 + 3v * 2) = -2(v + 4) 6v + -6 + (14 + 6v) = -2(v + 4) Reorder the terms: -6 + 14 + 6v + 6v = -2(v + 4) Combine like terms: -6 + 14 = 8 8 + 6v + 6v = -2(v + 4) Combine like terms: 6v + 6v = 12v 8 + 12v = -2(v + 4) Reorder the terms: 8 + 12v = -2(4 + v) 8 + 12v = (4 * -2 + v * -2) 8 + 12v = (-8 + -2v) Solving 8 + 12v = -8 + -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 + 12v + 2v = -8 + -2v + 2v Combine like terms: 12v + 2v = 14v 8 + 14v = -8 + -2v + 2v Combine like terms: -2v + 2v = 0 8 + 14v = -8 + 0 8 + 14v = -8 Add '-8' to each side of the equation. 8 + -8 + 14v = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 14v = -8 + -8 14v = -8 + -8 Combine like terms: -8 + -8 = -16 14v = -16 Divide each side by '14'. v = -1.142857143 Simplifying v = -1.142857143
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