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Simplifying 40a + 0.25 = 25a + 0.45 Reorder the terms: 0.25 + 40a = 25a + 0.45 Reorder the terms: 0.25 + 40a = 0.45 + 25a Solving 0.25 + 40a = 0.45 + 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. 0.25 + 40a + -25a = 0.45 + 25a + -25a Combine like terms: 40a + -25a = 15a 0.25 + 15a = 0.45 + 25a + -25a Combine like terms: 25a + -25a = 0 0.25 + 15a = 0.45 + 0 0.25 + 15a = 0.45 Add '-0.25' to each side of the equation. 0.25 + -0.25 + 15a = 0.45 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 15a = 0.45 + -0.25 15a = 0.45 + -0.25 Combine like terms: 0.45 + -0.25 = 0.2 15a = 0.2 Divide each side by '15'. a = 0.01333333333 Simplifying a = 0.01333333333
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