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Simplifying 39.99 + 0.45 = 44.99 + 0.40a Combine like terms: 39.99 + 0.45 = 40.44 40.44 = 44.99 + 0.40a Solving 40.44 = 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. 40.44 + -0.40a = 44.99 + 0.40a + -0.40a Combine like terms: 0.40a + -0.40a = 0.00 40.44 + -0.40a = 44.99 + 0.00 40.44 + -0.40a = 44.99 Add '-40.44' to each side of the equation. 40.44 + -40.44 + -0.40a = 44.99 + -40.44 Combine like terms: 40.44 + -40.44 = 0.00 0.00 + -0.40a = 44.99 + -40.44 -0.40a = 44.99 + -40.44 Combine like terms: 44.99 + -40.44 = 4.55 -0.40a = 4.55 Divide each side by '-0.40'. a = -11.375 Simplifying a = -11.375
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