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Simplifying (4ab + 6ab + 8cd) + (-6ab + -3ab) + (4cd + -6bc) = 0 Combine like terms: 4ab + 6ab = 10ab (10ab + 8cd) + (-6ab + -3ab) + (4cd + -6bc) = 0 Remove parenthesis around (10ab + 8cd) 10ab + 8cd + (-6ab + -3ab) + (4cd + -6bc) = 0 Combine like terms: -6ab + -3ab = -9ab 10ab + 8cd + (-9ab) + (4cd + -6bc) = 0 10ab + 8cd + (-9ab) + (4cd + -6bc) = 0 Reorder the terms: 10ab + 8cd + (-9ab) + (-6bc + 4cd) = 0 Remove parenthesis around (-6bc + 4cd) 10ab + 8cd + (-9ab) + -6bc + 4cd = 0 Reorder the terms: 10ab + (-9ab) + -6bc + 8cd + 4cd = 0 Combine like terms: 10ab + (-9ab) = 1ab 1ab + -6bc + 8cd + 4cd = 0 Combine like terms: 8cd + 4cd = 12cd 1ab + -6bc + 12cd = 0 Solving 1ab + -6bc + 12cd = 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. 1ab + -6bc + 6bc + 12cd = 0 + 6bc Combine like terms: -6bc + 6bc = 0 1ab + 0 + 12cd = 0 + 6bc 1ab + 12cd = 0 + 6bc Remove the zero: 1ab + 12cd = 6bc Add '-12cd' to each side of the equation. 1ab + 12cd + -12cd = 6bc + -12cd Combine like terms: 12cd + -12cd = 0 1ab + 0 = 6bc + -12cd 1ab = 6bc + -12cd Divide each side by '1b'. a = 6c + -12b-1cd Simplifying a = 6c + -12b-1cd Reorder the terms: a = -12b-1cd + 6c
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