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Simplifying 25(8 + -1v) + 8v = 81 (8 * 25 + -1v * 25) + 8v = 81 (200 + -25v) + 8v = 81 Combine like terms: -25v + 8v = -17v 200 + -17v = 81 Solving 200 + -17v = 81 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + -17v = 81 + -200 Combine like terms: 200 + -200 = 0 0 + -17v = 81 + -200 -17v = 81 + -200 Combine like terms: 81 + -200 = -119 -17v = -119 Divide each side by '-17'. v = 7 Simplifying v = 7
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