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Simplifying 5c + 2a + 3(a + -1c) = 0 5c + 2a + (a * 3 + -1c * 3) = 0 5c + 2a + (3a + -3c) = 0 Reorder the terms: 2a + 3a + 5c + -3c = 0 Combine like terms: 2a + 3a = 5a 5a + 5c + -3c = 0 Combine like terms: 5c + -3c = 2c 5a + 2c = 0 Solving 5a + 2c = 0 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. 5a + 2c + -2c = 0 + -2c Combine like terms: 2c + -2c = 0 5a + 0 = 0 + -2c 5a = 0 + -2c Remove the zero: 5a = -2c Divide each side by '5'. a = -0.4c Simplifying a = -0.4c
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