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Simplifying 205 = 5(1 + 5v) 205 = (1 * 5 + 5v * 5) 205 = (5 + 25v) Solving 205 = 5 + 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. 205 + -25v = 5 + 25v + -25v Combine like terms: 25v + -25v = 0 205 + -25v = 5 + 0 205 + -25v = 5 Add '-205' to each side of the equation. 205 + -205 + -25v = 5 + -205 Combine like terms: 205 + -205 = 0 0 + -25v = 5 + -205 -25v = 5 + -205 Combine like terms: 5 + -205 = -200 -25v = -200 Divide each side by '-25'. v = 8 Simplifying v = 8
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