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Simplifying 2(3a + -1c) = 5c + 1 (3a * 2 + -1c * 2) = 5c + 1 (6a + -2c) = 5c + 1 Reorder the terms: 6a + -2c = 1 + 5c Solving 6a + -2c = 1 + 5c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2c' to each side of the equation. 6a + -2c + 2c = 1 + 5c + 2c Combine like terms: -2c + 2c = 0 6a + 0 = 1 + 5c + 2c 6a = 1 + 5c + 2c Combine like terms: 5c + 2c = 7c 6a = 1 + 7c Divide each side by '6'. a = 0.1666666667 + 1.166666667c Simplifying a = 0.1666666667 + 1.166666667c
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