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Simplifying -2(2a + -4b + 3c) = 0 (2a * -2 + -4b * -2 + 3c * -2) = 0 (-4a + 8b + -6c) = 0 Solving -4a + 8b + -6c = 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 + -6c = 0 + -8b Combine like terms: 8b + -8b = 0 -4a + 0 + -6c = 0 + -8b -4a + -6c = 0 + -8b Remove the zero: -4a + -6c = -8b Add '6c' to each side of the equation. -4a + -6c + 6c = -8b + 6c Combine like terms: -6c + 6c = 0 -4a + 0 = -8b + 6c -4a = -8b + 6c Divide each side by '-4'. a = 2b + -1.5c Simplifying a = 2b + -1.5c
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