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Simplifying 500 = 5(v + 25) Reorder the terms: 500 = 5(25 + v) 500 = (25 * 5 + v * 5) 500 = (125 + 5v) Solving 500 = 125 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 500 + -5v = 125 + 5v + -5v Combine like terms: 5v + -5v = 0 500 + -5v = 125 + 0 500 + -5v = 125 Add '-500' to each side of the equation. 500 + -500 + -5v = 125 + -500 Combine like terms: 500 + -500 = 0 0 + -5v = 125 + -500 -5v = 125 + -500 Combine like terms: 125 + -500 = -375 -5v = -375 Divide each side by '-5'. v = 75 Simplifying v = 75
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