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Simplifying 3a + 2b + -6c = 0 Solving 3a + 2b + -6c = 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 + -6c = 0 + -2b Combine like terms: 2b + -2b = 0 3a + 0 + -6c = 0 + -2b 3a + -6c = 0 + -2b Remove the zero: 3a + -6c = -2b Add '6c' to each side of the equation. 3a + -6c + 6c = -2b + 6c Combine like terms: -6c + 6c = 0 3a + 0 = -2b + 6c 3a = -2b + 6c Divide each side by '3'. a = -0.6666666667b + 2c Simplifying a = -0.6666666667b + 2c
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