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