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Simplifying 0.45a + 39.99 = 0.40a + 44.99 Reorder the terms: 39.99 + 0.45a = 0.40a + 44.99 Reorder the terms: 39.99 + 0.45a = 44.99 + 0.40a Solving 39.99 + 0.45a = 44.99 + 0.40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.40a' to each side of the equation. 39.99 + 0.45a + -0.40a = 44.99 + 0.40a + -0.40a Combine like terms: 0.45a + -0.40a = 0.05a 39.99 + 0.05a = 44.99 + 0.40a + -0.40a Combine like terms: 0.40a + -0.40a = 0.00 39.99 + 0.05a = 44.99 + 0.00 39.99 + 0.05a = 44.99 Add '-39.99' to each side of the equation. 39.99 + -39.99 + 0.05a = 44.99 + -39.99 Combine like terms: 39.99 + -39.99 = 0.00 0.00 + 0.05a = 44.99 + -39.99 0.05a = 44.99 + -39.99 Combine like terms: 44.99 + -39.99 = 5 0.05a = 5 Divide each side by '0.05'. a = 100 Simplifying a = 100
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