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Simplifying 8a + 2b + 2c + -1a + -2b + -6c = 0 Reorder the terms: 8a + -1a + 2b + -2b + 2c + -6c = 0 Combine like terms: 8a + -1a = 7a 7a + 2b + -2b + 2c + -6c = 0 Combine like terms: 2b + -2b = 0 7a + 0 + 2c + -6c = 0 7a + 2c + -6c = 0 Combine like terms: 2c + -6c = -4c 7a + -4c = 0 Solving 7a + -4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4c' to each side of the equation. 7a + -4c + 4c = 0 + 4c Combine like terms: -4c + 4c = 0 7a + 0 = 0 + 4c 7a = 0 + 4c Remove the zero: 7a = 4c Divide each side by '7'. a = 0.5714285714c Simplifying a = 0.5714285714c
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