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Simplifying 6(a + -4b + -9c) = 0 (a * 6 + -4b * 6 + -9c * 6) = 0 (6a + -24b + -54c) = 0 Solving 6a + -24b + -54c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24b' to each side of the equation. 6a + -24b + 24b + -54c = 0 + 24b Combine like terms: -24b + 24b = 0 6a + 0 + -54c = 0 + 24b 6a + -54c = 0 + 24b Remove the zero: 6a + -54c = 24b Add '54c' to each side of the equation. 6a + -54c + 54c = 24b + 54c Combine like terms: -54c + 54c = 0 6a + 0 = 24b + 54c 6a = 24b + 54c Divide each side by '6'. a = 4b + 9c Simplifying a = 4b + 9c
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