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Simplifying 12a + 18b + -6c = 0 Solving 12a + 18b + -6c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18b' to each side of the equation. 12a + 18b + -18b + -6c = 0 + -18b Combine like terms: 18b + -18b = 0 12a + 0 + -6c = 0 + -18b 12a + -6c = 0 + -18b Remove the zero: 12a + -6c = -18b Add '6c' to each side of the equation. 12a + -6c + 6c = -18b + 6c Combine like terms: -6c + 6c = 0 12a + 0 = -18b + 6c 12a = -18b + 6c Divide each side by '12'. a = -1.5b + 0.5c Simplifying a = -1.5b + 0.5c
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