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Simplifying -6(a + 2b + -1c) = 0 (a * -6 + 2b * -6 + -1c * -6) = 0 (-6a + -12b + 6c) = 0 Solving -6a + -12b + 6c = 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 + 6c = 0 + 12b Combine like terms: -12b + 12b = 0 -6a + 0 + 6c = 0 + 12b -6a + 6c = 0 + 12b Remove the zero: -6a + 6c = 12b Add '-6c' to each side of the equation. -6a + 6c + -6c = 12b + -6c Combine like terms: 6c + -6c = 0 -6a + 0 = 12b + -6c -6a = 12b + -6c Divide each side by '-6'. a = -2b + c Simplifying a = -2b + c
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