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Simplifying 7700 = 2800(1 + a * 25) Reorder the terms for easier multiplication: 7700 = 2800(1 + 25a) 7700 = (1 * 2800 + 25a * 2800) 7700 = (2800 + 70000a) Solving 7700 = 2800 + 70000a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-70000a' to each side of the equation. 7700 + -70000a = 2800 + 70000a + -70000a Combine like terms: 70000a + -70000a = 0 7700 + -70000a = 2800 + 0 7700 + -70000a = 2800 Add '-7700' to each side of the equation. 7700 + -7700 + -70000a = 2800 + -7700 Combine like terms: 7700 + -7700 = 0 0 + -70000a = 2800 + -7700 -70000a = 2800 + -7700 Combine like terms: 2800 + -7700 = -4900 -70000a = -4900 Divide each side by '-70000'. a = 0.07 Simplifying a = 0.07
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