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Simplifying 97 = 2 + 5(-1 + 5v) 97 = 2 + (-1 * 5 + 5v * 5) 97 = 2 + (-5 + 25v) Combine like terms: 2 + -5 = -3 97 = -3 + 25v Solving 97 = -3 + 25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-25v' to each side of the equation. 97 + -25v = -3 + 25v + -25v Combine like terms: 25v + -25v = 0 97 + -25v = -3 + 0 97 + -25v = -3 Add '-97' to each side of the equation. 97 + -97 + -25v = -3 + -97 Combine like terms: 97 + -97 = 0 0 + -25v = -3 + -97 -25v = -3 + -97 Combine like terms: -3 + -97 = -100 -25v = -100 Divide each side by '-25'. v = 4 Simplifying v = 4
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