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Simplifying 11a + 5c = d(6 + 2c) 11a + 5c = (6 * d + 2c * d) Reorder the terms: 11a + 5c = (2cd + 6d) 11a + 5c = (2cd + 6d) Solving 11a + 5c = 2cd + 6d 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. 11a + 5c + -5c = 2cd + -5c + 6d Combine like terms: 5c + -5c = 0 11a + 0 = 2cd + -5c + 6d 11a = 2cd + -5c + 6d Reorder the terms: 11a = -5c + 2cd + 6d Divide each side by '11'. a = -0.4545454545c + 0.1818181818cd + 0.5454545455d Simplifying a = -0.4545454545c + 0.1818181818cd + 0.5454545455d
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