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Simplifying -2(a + 2b + 3c) = 0 (a * -2 + 2b * -2 + 3c * -2) = 0 (-2a + -4b + -6c) = 0 Solving -2a + -4b + -6c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. -2a + -4b + 4b + -6c = 0 + 4b Combine like terms: -4b + 4b = 0 -2a + 0 + -6c = 0 + 4b -2a + -6c = 0 + 4b Remove the zero: -2a + -6c = 4b Add '6c' to each side of the equation. -2a + -6c + 6c = 4b + 6c Combine like terms: -6c + 6c = 0 -2a + 0 = 4b + 6c -2a = 4b + 6c Divide each side by '-2'. a = -2b + -3c Simplifying a = -2b + -3c
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