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Simplifying 8a + -4b + c + -2a + -1c + 2c = 0 Reorder the terms: 8a + -2a + -4b + c + -1c + 2c = 0 Combine like terms: 8a + -2a = 6a 6a + -4b + c + -1c + 2c = 0 Combine like terms: c + -1c = 0 6a + -4b + 0 + 2c = 0 6a + -4b + 2c = 0 Solving 6a + -4b + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 6a + -4b + 4b + 2c = 0 + 4b Combine like terms: -4b + 4b = 0 6a + 0 + 2c = 0 + 4b 6a + 2c = 0 + 4b Remove the zero: 6a + 2c = 4b Add '-2c' to each side of the equation. 6a + 2c + -2c = 4b + -2c Combine like terms: 2c + -2c = 0 6a + 0 = 4b + -2c 6a = 4b + -2c Divide each side by '6'. a = 0.6666666667b + -0.3333333333c Simplifying a = 0.6666666667b + -0.3333333333c
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