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Simplifying (3abc + -1c) + -1(2abc + c) = 0 Remove parenthesis around (3abc + -1c) 3abc + -1c + -1(2abc + c) = 0 3abc + -1c + (2abc * -1 + c * -1) = 0 3abc + -1c + (-2abc + -1c) = 0 Reorder the terms: 3abc + -2abc + -1c + -1c = 0 Combine like terms: 3abc + -2abc = 1abc 1abc + -1c + -1c = 0 Combine like terms: -1c + -1c = -2c 1abc + -2c = 0 Solving 1abc + -2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2c' to each side of the equation. 1abc + -2c + 2c = 0 + 2c Combine like terms: -2c + 2c = 0 1abc + 0 = 0 + 2c 1abc = 0 + 2c Remove the zero: 1abc = 2c Divide each side by '1bc'. a = 2b-1 Simplifying a = 2b-1
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