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Simplifying 6a + -9b + 3c = 0 Solving 6a + -9b + 3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. 6a + -9b + 9b + 3c = 0 + 9b Combine like terms: -9b + 9b = 0 6a + 0 + 3c = 0 + 9b 6a + 3c = 0 + 9b Remove the zero: 6a + 3c = 9b Add '-3c' to each side of the equation. 6a + 3c + -3c = 9b + -3c Combine like terms: 3c + -3c = 0 6a + 0 = 9b + -3c 6a = 9b + -3c Divide each side by '6'. a = 1.5b + -0.5c Simplifying a = 1.5b + -0.5c
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