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Simplifying 4ab + -12bc + 2b2 + -2ab + 8b2 + 6bc = 0 Reorder the terms: 4ab + -2ab + -12bc + 6bc + 2b2 + 8b2 = 0 Combine like terms: 4ab + -2ab = 2ab 2ab + -12bc + 6bc + 2b2 + 8b2 = 0 Combine like terms: -12bc + 6bc = -6bc 2ab + -6bc + 2b2 + 8b2 = 0 Combine like terms: 2b2 + 8b2 = 10b2 2ab + -6bc + 10b2 = 0 Solving 2ab + -6bc + 10b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6bc' to each side of the equation. 2ab + -6bc + 6bc + 10b2 = 0 + 6bc Combine like terms: -6bc + 6bc = 0 2ab + 0 + 10b2 = 0 + 6bc 2ab + 10b2 = 0 + 6bc Remove the zero: 2ab + 10b2 = 6bc Add '-10b2' to each side of the equation. 2ab + 10b2 + -10b2 = 6bc + -10b2 Combine like terms: 10b2 + -10b2 = 0 2ab + 0 = 6bc + -10b2 2ab = 6bc + -10b2 Divide each side by '2b'. a = 3c + -5b Simplifying a = 3c + -5b Reorder the terms: a = -5b + 3c
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