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Simplifying 3a + 2c = -2a + -8c + 12 Reorder the terms: 3a + 2c = 12 + -2a + -8c Solving 3a + 2c = 12 + -2a + -8c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 3a + 2a + 2c = 12 + -2a + 2a + -8c Combine like terms: 3a + 2a = 5a 5a + 2c = 12 + -2a + 2a + -8c Combine like terms: -2a + 2a = 0 5a + 2c = 12 + 0 + -8c 5a + 2c = 12 + -8c Add '-2c' to each side of the equation. 5a + 2c + -2c = 12 + -8c + -2c Combine like terms: 2c + -2c = 0 5a + 0 = 12 + -8c + -2c 5a = 12 + -8c + -2c Combine like terms: -8c + -2c = -10c 5a = 12 + -10c Divide each side by '5'. a = 2.4 + -2c Simplifying a = 2.4 + -2c
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