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Simplifying 25 + 0.45a = 40 + 0.25a Solving 25 + 0.45a = 40 + 0.25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.25a' to each side of the equation. 25 + 0.45a + -0.25a = 40 + 0.25a + -0.25a Combine like terms: 0.45a + -0.25a = 0.2a 25 + 0.2a = 40 + 0.25a + -0.25a Combine like terms: 0.25a + -0.25a = 0.00 25 + 0.2a = 40 + 0.00 25 + 0.2a = 40 Add '-25' to each side of the equation. 25 + -25 + 0.2a = 40 + -25 Combine like terms: 25 + -25 = 0 0 + 0.2a = 40 + -25 0.2a = 40 + -25 Combine like terms: 40 + -25 = 15 0.2a = 15 Divide each side by '0.2'. a = 75 Simplifying a = 75
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