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Simplifying 24 = 8v + -3(v + 2) Reorder the terms: 24 = 8v + -3(2 + v) 24 = 8v + (2 * -3 + v * -3) 24 = 8v + (-6 + -3v) Reorder the terms: 24 = -6 + 8v + -3v Combine like terms: 8v + -3v = 5v 24 = -6 + 5v Solving 24 = -6 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 24 + -5v = -6 + 5v + -5v Combine like terms: 5v + -5v = 0 24 + -5v = -6 + 0 24 + -5v = -6 Add '-24' to each side of the equation. 24 + -24 + -5v = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -5v = -6 + -24 -5v = -6 + -24 Combine like terms: -6 + -24 = -30 -5v = -30 Divide each side by '-5'. v = 6 Simplifying v = 6
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