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Simplifying 6a + b = 2c + -2a Reorder the terms: 6a + b = -2a + 2c Solving 6a + b = -2a + 2c 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. 6a + 2a + b = -2a + 2a + 2c Combine like terms: 6a + 2a = 8a 8a + b = -2a + 2a + 2c Combine like terms: -2a + 2a = 0 8a + b = 0 + 2c 8a + b = 2c Add '-1b' to each side of the equation. 8a + b + -1b = -1b + 2c Combine like terms: b + -1b = 0 8a + 0 = -1b + 2c 8a = -1b + 2c Divide each side by '8'. a = -0.125b + 0.25c Simplifying a = -0.125b + 0.25c
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