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Simplifying 25a + 0.45 = 40a + 0.25 Reorder the terms: 0.45 + 25a = 40a + 0.25 Reorder the terms: 0.45 + 25a = 0.25 + 40a Solving 0.45 + 25a = 0.25 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. 0.45 + 25a + -40a = 0.25 + 40a + -40a Combine like terms: 25a + -40a = -15a 0.45 + -15a = 0.25 + 40a + -40a Combine like terms: 40a + -40a = 0 0.45 + -15a = 0.25 + 0 0.45 + -15a = 0.25 Add '-0.45' to each side of the equation. 0.45 + -0.45 + -15a = 0.25 + -0.45 Combine like terms: 0.45 + -0.45 = 0.00 0.00 + -15a = 0.25 + -0.45 -15a = 0.25 + -0.45 Combine like terms: 0.25 + -0.45 = -0.2 -15a = -0.2 Divide each side by '-15'. a = 0.01333333333 Simplifying a = 0.01333333333
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