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Simplifying 205 = 5(1 + -5a) 205 = (1 * 5 + -5a * 5) 205 = (5 + -25a) Solving 205 = 5 + -25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25a' to each side of the equation. 205 + 25a = 5 + -25a + 25a Combine like terms: -25a + 25a = 0 205 + 25a = 5 + 0 205 + 25a = 5 Add '-205' to each side of the equation. 205 + -205 + 25a = 5 + -205 Combine like terms: 205 + -205 = 0 0 + 25a = 5 + -205 25a = 5 + -205 Combine like terms: 5 + -205 = -200 25a = -200 Divide each side by '25'. a = -8 Simplifying a = -8
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