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Simplifying -2(a + -3b + -6c) = 0 (a * -2 + -3b * -2 + -6c * -2) = 0 (-2a + 6b + 12c) = 0 Solving -2a + 6b + 12c = 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. -2a + 6b + -6b + 12c = 0 + -6b Combine like terms: 6b + -6b = 0 -2a + 0 + 12c = 0 + -6b -2a + 12c = 0 + -6b Remove the zero: -2a + 12c = -6b Add '-12c' to each side of the equation. -2a + 12c + -12c = -6b + -12c Combine like terms: 12c + -12c = 0 -2a + 0 = -6b + -12c -2a = -6b + -12c Divide each side by '-2'. a = 3b + 6c Simplifying a = 3b + 6c
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