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Simplifying -4b(a + -3b + c) = 0 (a * -4b + -3b * -4b + c * -4b) = 0 Reorder the terms: (-4ab + -4bc + 12b2) = 0 (-4ab + -4bc + 12b2) = 0 Solving -4ab + -4bc + 12b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4bc' to each side of the equation. -4ab + -4bc + 4bc + 12b2 = 0 + 4bc Combine like terms: -4bc + 4bc = 0 -4ab + 0 + 12b2 = 0 + 4bc -4ab + 12b2 = 0 + 4bc Remove the zero: -4ab + 12b2 = 4bc Add '-12b2' to each side of the equation. -4ab + 12b2 + -12b2 = 4bc + -12b2 Combine like terms: 12b2 + -12b2 = 0 -4ab + 0 = 4bc + -12b2 -4ab = 4bc + -12b2 Divide each side by '-4b'. a = -1c + 3b Simplifying a = -1c + 3b Reorder the terms: a = 3b + -1c
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