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Simplifying -2(a + -4b + -9c) = 0 (a * -2 + -4b * -2 + -9c * -2) = 0 (-2a + 8b + 18c) = 0 Solving -2a + 8b + 18c = 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. -2a + 8b + -8b + 18c = 0 + -8b Combine like terms: 8b + -8b = 0 -2a + 0 + 18c = 0 + -8b -2a + 18c = 0 + -8b Remove the zero: -2a + 18c = -8b Add '-18c' to each side of the equation. -2a + 18c + -18c = -8b + -18c Combine like terms: 18c + -18c = 0 -2a + 0 = -8b + -18c -2a = -8b + -18c Divide each side by '-2'. a = 4b + 9c Simplifying a = 4b + 9c
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