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Simplifying 3(4v + -8) = 24 + 4v Reorder the terms: 3(-8 + 4v) = 24 + 4v (-8 * 3 + 4v * 3) = 24 + 4v (-24 + 12v) = 24 + 4v Solving -24 + 12v = 24 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -24 + 12v + -4v = 24 + 4v + -4v Combine like terms: 12v + -4v = 8v -24 + 8v = 24 + 4v + -4v Combine like terms: 4v + -4v = 0 -24 + 8v = 24 + 0 -24 + 8v = 24 Add '24' to each side of the equation. -24 + 24 + 8v = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 8v = 24 + 24 8v = 24 + 24 Combine like terms: 24 + 24 = 48 8v = 48 Divide each side by '8'. v = 6 Simplifying v = 6
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