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