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Simplifying 3a + -2b + -1c = 0 Solving 3a + -2b + -1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 3a + -2b + 2b + -1c = 0 + 2b Combine like terms: -2b + 2b = 0 3a + 0 + -1c = 0 + 2b 3a + -1c = 0 + 2b Remove the zero: 3a + -1c = 2b Add 'c' to each side of the equation. 3a + -1c + c = 2b + c Combine like terms: -1c + c = 0 3a + 0 = 2b + c 3a = 2b + c Divide each side by '3'. a = 0.6666666667b + 0.3333333333c Simplifying a = 0.6666666667b + 0.3333333333c
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