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