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Simplifying 2(3a + -2b + c) = 0 (3a * 2 + -2b * 2 + c * 2) = 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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