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Simplifying 0.50a + 0.75b = 11.50 Solving 0.50a + 0.75b = 11.50 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.75b' to each side of the equation. 0.50a + 0.75b + -0.75b = 11.50 + -0.75b Combine like terms: 0.75b + -0.75b = 0.00 0.50a + 0.00 = 11.50 + -0.75b 0.50a = 11.50 + -0.75b Divide each side by '0.50'. a = 23 + -1.5b Simplifying a = 23 + -1.5b
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