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Simplifying 6c + -2a = 3c + -8a Reorder the terms: -2a + 6c = 3c + -8a Reorder the terms: -2a + 6c = -8a + 3c Solving -2a + 6c = -8a + 3c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -2a + 8a + 6c = -8a + 8a + 3c Combine like terms: -2a + 8a = 6a 6a + 6c = -8a + 8a + 3c Combine like terms: -8a + 8a = 0 6a + 6c = 0 + 3c 6a + 6c = 3c Add '-6c' to each side of the equation. 6a + 6c + -6c = 3c + -6c Combine like terms: 6c + -6c = 0 6a + 0 = 3c + -6c 6a = 3c + -6c Combine like terms: 3c + -6c = -3c 6a = -3c Divide each side by '6'. a = -0.5c Simplifying a = -0.5c
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