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Simplifying 2ab + 2bc + 2cd = 150 Solving 2ab + 2bc + 2cd = 150 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2bc' to each side of the equation. 2ab + 2bc + -2bc + 2cd = 150 + -2bc Combine like terms: 2bc + -2bc = 0 2ab + 0 + 2cd = 150 + -2bc 2ab + 2cd = 150 + -2bc Add '-2cd' to each side of the equation. 2ab + 2cd + -2cd = 150 + -2bc + -2cd Combine like terms: 2cd + -2cd = 0 2ab + 0 = 150 + -2bc + -2cd 2ab = 150 + -2bc + -2cd Divide each side by '2b'. a = 75b-1 + -1c + -1b-1cd Simplifying a = 75b-1 + -1c + -1b-1cd Reorder the terms: a = 75b-1 + -1b-1cd + -1c
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