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Simplifying 2v + 24 = -2(4 + v) Reorder the terms: 24 + 2v = -2(4 + v) 24 + 2v = (4 * -2 + v * -2) 24 + 2v = (-8 + -2v) Solving 24 + 2v = -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. 24 + 2v + 2v = -8 + -2v + 2v Combine like terms: 2v + 2v = 4v 24 + 4v = -8 + -2v + 2v Combine like terms: -2v + 2v = 0 24 + 4v = -8 + 0 24 + 4v = -8 Add '-24' to each side of the equation. 24 + -24 + 4v = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 4v = -8 + -24 4v = -8 + -24 Combine like terms: -8 + -24 = -32 4v = -32 Divide each side by '4'. v = -8 Simplifying v = -8
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