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Simplifying 231 = 7v + 25(15 + -1v) 231 = 7v + (15 * 25 + -1v * 25) 231 = 7v + (375 + -25v) Reorder the terms: 231 = 375 + 7v + -25v Combine like terms: 7v + -25v = -18v 231 = 375 + -18v Solving 231 = 375 + -18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '18v' to each side of the equation. 231 + 18v = 375 + -18v + 18v Combine like terms: -18v + 18v = 0 231 + 18v = 375 + 0 231 + 18v = 375 Add '-231' to each side of the equation. 231 + -231 + 18v = 375 + -231 Combine like terms: 231 + -231 = 0 0 + 18v = 375 + -231 18v = 375 + -231 Combine like terms: 375 + -231 = 144 18v = 144 Divide each side by '18'. v = 8 Simplifying v = 8
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