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Simplifying 6v + 24 = 2(v + -4) Reorder the terms: 24 + 6v = 2(v + -4) Reorder the terms: 24 + 6v = 2(-4 + v) 24 + 6v = (-4 * 2 + v * 2) 24 + 6v = (-8 + 2v) Solving 24 + 6v = -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 + 6v + -2v = -8 + 2v + -2v Combine like terms: 6v + -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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