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Simplifying 39.99a + 0.45 = 44.99a + 0.40 Reorder the terms: 0.45 + 39.99a = 44.99a + 0.40 Reorder the terms: 0.45 + 39.99a = 0.40 + 44.99a Solving 0.45 + 39.99a = 0.40 + 44.99a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-44.99a' to each side of the equation. 0.45 + 39.99a + -44.99a = 0.40 + 44.99a + -44.99a Combine like terms: 39.99a + -44.99a = -5a 0.45 + -5a = 0.40 + 44.99a + -44.99a Combine like terms: 44.99a + -44.99a = 0.00 0.45 + -5a = 0.40 + 0.00 0.45 + -5a = 0.40 Add '-0.45' to each side of the equation. 0.45 + -0.45 + -5a = 0.40 + -0.45 Combine like terms: 0.45 + -0.45 = 0.00 0.00 + -5a = 0.40 + -0.45 -5a = 0.40 + -0.45 Combine like terms: 0.40 + -0.45 = -0.05 -5a = -0.05 Divide each side by '-5'. a = 0.01 Simplifying a = 0.01
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