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Simplifying a(2b) + b(2c) + c = 14 Remove parenthesis around (2b) a * 2b + b(2c) + c = 14 Reorder the terms for easier multiplication: 2a * b + b(2c) + c = 14 Multiply a * b 2ab + b(2c) + c = 14 Remove parenthesis around (2c) 2ab + b * 2c + c = 14 Reorder the terms for easier multiplication: 2ab + 2b * c + c = 14 Multiply b * c 2ab + 2bc + c = 14 Solving 2ab + 2bc + c = 14 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 + c = 14 + -2bc Combine like terms: 2bc + -2bc = 0 2ab + 0 + c = 14 + -2bc 2ab + c = 14 + -2bc Add '-1c' to each side of the equation. 2ab + c + -1c = 14 + -2bc + -1c Combine like terms: c + -1c = 0 2ab + 0 = 14 + -2bc + -1c 2ab = 14 + -2bc + -1c Divide each side by '2b'. a = 7b-1 + -1c + -0.5b-1c Simplifying a = 7b-1 + -1c + -0.5b-1c Reorder the terms: a = 7b-1 + -0.5b-1c + -1c
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