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Simplifying 5abc + -3b = 7b + -1abc Reorder the terms: 5abc + -3b = -1abc + 7b Solving 5abc + -3b = -1abc + 7b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'abc' to each side of the equation. 5abc + abc + -3b = -1abc + abc + 7b Combine like terms: 5abc + abc = 6abc 6abc + -3b = -1abc + abc + 7b Combine like terms: -1abc + abc = 0 6abc + -3b = 0 + 7b 6abc + -3b = 7b Add '3b' to each side of the equation. 6abc + -3b + 3b = 7b + 3b Combine like terms: -3b + 3b = 0 6abc + 0 = 7b + 3b 6abc = 7b + 3b Combine like terms: 7b + 3b = 10b 6abc = 10b Divide each side by '6bc'. a = 1.666666667c-1 Simplifying a = 1.666666667c-1
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