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Simplifying 2a + 3c + 5a + 2c = 73.50 + 109.50 Reorder the terms: 2a + 5a + 3c + 2c = 73.50 + 109.50 Combine like terms: 2a + 5a = 7a 7a + 3c + 2c = 73.50 + 109.50 Combine like terms: 3c + 2c = 5c 7a + 5c = 73.50 + 109.50 Combine like terms: 73.50 + 109.50 = 183 7a + 5c = 183 Solving 7a + 5c = 183 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5c' to each side of the equation. 7a + 5c + -5c = 183 + -5c Combine like terms: 5c + -5c = 0 7a + 0 = 183 + -5c 7a = 183 + -5c Divide each side by '7'. a = 26.14285714 + -0.7142857143c Simplifying a = 26.14285714 + -0.7142857143c
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