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Simplifying 39.99 + (0.45a) = 49.99 + (0.40a) Solving 39.99 + (0.45a) = 49.99 + (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) = 49.99 + (0.40a) + (-0.40a) Combine like terms: (0.45a) + (-0.40a) = 0.05a 39.99 + 0.05a = 49.99 + (0.40a) + (-0.40a) Combine like terms: (0.40a) + (-0.40a) = 0.00 39.99 + 0.05a = 49.99 + 0.00 39.99 + 0.05a = 49.99 Add '-39.99' to each side of the equation. 39.99 + -39.99 + 0.05a = 49.99 + -39.99 Combine like terms: 39.99 + -39.99 = 0.00 0.00 + 0.05a = 49.99 + -39.99 0.05a = 49.99 + -39.99 Combine like terms: 49.99 + -39.99 = 10 0.05a = 10 Divide each side by '0.05'. a = 200 Simplifying a = 200
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