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Simplifying 6(a + 2b + 3c) = 0 (a * 6 + 2b * 6 + 3c * 6) = 0 (6a + 12b + 18c) = 0 Solving 6a + 12b + 18c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 6a + 12b + -12b + 18c = 0 + -12b Combine like terms: 12b + -12b = 0 6a + 0 + 18c = 0 + -12b 6a + 18c = 0 + -12b Remove the zero: 6a + 18c = -12b Add '-18c' to each side of the equation. 6a + 18c + -18c = -12b + -18c Combine like terms: 18c + -18c = 0 6a + 0 = -12b + -18c 6a = -12b + -18c Divide each side by '6'. a = -2b + -3c Simplifying a = -2b + -3c
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