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Simplifying 2v + -24 = -6(v + -4) Reorder the terms: -24 + 2v = -6(v + -4) Reorder the terms: -24 + 2v = -6(-4 + v) -24 + 2v = (-4 * -6 + v * -6) -24 + 2v = (24 + -6v) Solving -24 + 2v = 24 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -24 + 2v + 6v = 24 + -6v + 6v Combine like terms: 2v + 6v = 8v -24 + 8v = 24 + -6v + 6v Combine like terms: -6v + 6v = 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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