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Simplifying 8v + 5(4 + 8v) = -23 + 5v 8v + (4 * 5 + 8v * 5) = -23 + 5v 8v + (20 + 40v) = -23 + 5v Reorder the terms: 20 + 8v + 40v = -23 + 5v Combine like terms: 8v + 40v = 48v 20 + 48v = -23 + 5v Solving 20 + 48v = -23 + 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. 20 + 48v + -5v = -23 + 5v + -5v Combine like terms: 48v + -5v = 43v 20 + 43v = -23 + 5v + -5v Combine like terms: 5v + -5v = 0 20 + 43v = -23 + 0 20 + 43v = -23 Add '-20' to each side of the equation. 20 + -20 + 43v = -23 + -20 Combine like terms: 20 + -20 = 0 0 + 43v = -23 + -20 43v = -23 + -20 Combine like terms: -23 + -20 = -43 43v = -43 Divide each side by '43'. v = -1 Simplifying v = -1
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