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Simplifying 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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