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Simplifying 208 = 3 + 5(1 + 5v) 208 = 3 + (1 * 5 + 5v * 5) 208 = 3 + (5 + 25v) Combine like terms: 3 + 5 = 8 208 = 8 + 25v Solving 208 = 8 + 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. 208 + -25v = 8 + 25v + -25v Combine like terms: 25v + -25v = 0 208 + -25v = 8 + 0 208 + -25v = 8 Add '-208' to each side of the equation. 208 + -208 + -25v = 8 + -208 Combine like terms: 208 + -208 = 0 0 + -25v = 8 + -208 -25v = 8 + -208 Combine like terms: 8 + -208 = -200 -25v = -200 Divide each side by '-25'. v = 8 Simplifying v = 8
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