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Simplifying v + 2 = -2(v + 4) Reorder the terms: 2 + v = -2(v + 4) Reorder the terms: 2 + v = -2(4 + v) 2 + v = (4 * -2 + v * -2) 2 + v = (-8 + -2v) Solving 2 + v = -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. 2 + v + 2v = -8 + -2v + 2v Combine like terms: v + 2v = 3v 2 + 3v = -8 + -2v + 2v Combine like terms: -2v + 2v = 0 2 + 3v = -8 + 0 2 + 3v = -8 Add '-2' to each side of the equation. 2 + -2 + 3v = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 3v = -8 + -2 3v = -8 + -2 Combine like terms: -8 + -2 = -10 3v = -10 Divide each side by '3'. v = -3.333333333 Simplifying v = -3.333333333
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