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Simplifying (4ab + 6bc + 8cd) + (-6ab + -3ab) + (4cd + -6bc) = 0 Remove parenthesis around (4ab + 6bc + 8cd) 4ab + 6bc + 8cd + (-6ab + -3ab) + (4cd + -6bc) = 0 Combine like terms: -6ab + -3ab = -9ab 4ab + 6bc + 8cd + (-9ab) + (4cd + -6bc) = 0 4ab + 6bc + 8cd + (-9ab) + (4cd + -6bc) = 0 Reorder the terms: 4ab + 6bc + 8cd + (-9ab) + (-6bc + 4cd) = 0 Remove parenthesis around (-6bc + 4cd) 4ab + 6bc + 8cd + (-9ab) + -6bc + 4cd = 0 Reorder the terms: 4ab + (-9ab) + 6bc + -6bc + 8cd + 4cd = 0 Combine like terms: 4ab + (-9ab) = -5ab -5ab + 6bc + -6bc + 8cd + 4cd = 0 Combine like terms: 6bc + -6bc = 0 -5ab + 0 + 8cd + 4cd = 0 -5ab + 8cd + 4cd = 0 Combine like terms: 8cd + 4cd = 12cd -5ab + 12cd = 0 Solving -5ab + 12cd = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12cd' to each side of the equation. -5ab + 12cd + -12cd = 0 + -12cd Combine like terms: 12cd + -12cd = 0 -5ab + 0 = 0 + -12cd -5ab = 0 + -12cd Remove the zero: -5ab = -12cd Divide each side by '-5b'. a = 2.4b-1cd Simplifying a = 2.4b-1cd
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