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Simplifying -4(a + -2b + -6c) = 0 (a * -4 + -2b * -4 + -6c * -4) = 0 (-4a + 8b + 24c) = 0 Solving -4a + 8b + 24c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. -4a + 8b + -8b + 24c = 0 + -8b Combine like terms: 8b + -8b = 0 -4a + 0 + 24c = 0 + -8b -4a + 24c = 0 + -8b Remove the zero: -4a + 24c = -8b Add '-24c' to each side of the equation. -4a + 24c + -24c = -8b + -24c Combine like terms: 24c + -24c = 0 -4a + 0 = -8b + -24c -4a = -8b + -24c Divide each side by '-4'. a = 2b + 6c Simplifying a = 2b + 6c
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