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Simplifying 6a + -1b + 3c + 2a + -5c + b = 0 Reorder the terms: 6a + 2a + -1b + b + 3c + -5c = 0 Combine like terms: 6a + 2a = 8a 8a + -1b + b + 3c + -5c = 0 Combine like terms: -1b + b = 0 8a + 0 + 3c + -5c = 0 8a + 3c + -5c = 0 Combine like terms: 3c + -5c = -2c 8a + -2c = 0 Solving 8a + -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. 8a + -2c + 2c = 0 + 2c Combine like terms: -2c + 2c = 0 8a + 0 = 0 + 2c 8a = 0 + 2c Remove the zero: 8a = 2c Divide each side by '8'. a = 0.25c Simplifying a = 0.25c
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