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Simplifying 12 + 24v + -8v = 15v + -12 + 10 Combine like terms: 24v + -8v = 16v 12 + 16v = 15v + -12 + 10 Reorder the terms: 12 + 16v = -12 + 10 + 15v Combine like terms: -12 + 10 = -2 12 + 16v = -2 + 15v Solving 12 + 16v = -2 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 12 + 16v + -15v = -2 + 15v + -15v Combine like terms: 16v + -15v = 1v 12 + 1v = -2 + 15v + -15v Combine like terms: 15v + -15v = 0 12 + 1v = -2 + 0 12 + 1v = -2 Add '-12' to each side of the equation. 12 + -12 + 1v = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 1v = -2 + -12 1v = -2 + -12 Combine like terms: -2 + -12 = -14 1v = -14 Divide each side by '1'. v = -14 Simplifying v = -14
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