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Simplifying -6(-2a + -1b + c) = 0 (-2a * -6 + -1b * -6 + c * -6) = 0 (12a + 6b + -6c) = 0 Solving 12a + 6b + -6c = 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. 12a + 6b + -6b + -6c = 0 + -6b Combine like terms: 6b + -6b = 0 12a + 0 + -6c = 0 + -6b 12a + -6c = 0 + -6b Remove the zero: 12a + -6c = -6b Add '6c' to each side of the equation. 12a + -6c + 6c = -6b + 6c Combine like terms: -6c + 6c = 0 12a + 0 = -6b + 6c 12a = -6b + 6c Divide each side by '12'. a = -0.5b + 0.5c Simplifying a = -0.5b + 0.5c
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