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Simplifying 6a + 2c = 8a + -4c + 3a Reorder the terms: 6a + 2c = 8a + 3a + -4c Combine like terms: 8a + 3a = 11a 6a + 2c = 11a + -4c Solving 6a + 2c = 11a + -4c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 6a + -11a + 2c = 11a + -11a + -4c Combine like terms: 6a + -11a = -5a -5a + 2c = 11a + -11a + -4c Combine like terms: 11a + -11a = 0 -5a + 2c = 0 + -4c -5a + 2c = -4c Add '-2c' to each side of the equation. -5a + 2c + -2c = -4c + -2c Combine like terms: 2c + -2c = 0 -5a + 0 = -4c + -2c -5a = -4c + -2c Combine like terms: -4c + -2c = -6c -5a = -6c Divide each side by '-5'. a = 1.2c Simplifying a = 1.2c
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