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Simplifying 2ac + -2bc + ac + -2c = 0 Reorder the terms: 2ac + ac + -2bc + -2c = 0 Combine like terms: 2ac + ac = 3ac 3ac + -2bc + -2c = 0 Solving 3ac + -2bc + -2c = 0 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. 3ac + -2bc + 2bc + -2c = 0 + 2bc Combine like terms: -2bc + 2bc = 0 3ac + 0 + -2c = 0 + 2bc 3ac + -2c = 0 + 2bc Remove the zero: 3ac + -2c = 2bc Add '2c' to each side of the equation. 3ac + -2c + 2c = 2bc + 2c Combine like terms: -2c + 2c = 0 3ac + 0 = 2bc + 2c 3ac = 2bc + 2c Divide each side by '3c'. a = 0.6666666667b + 0.6666666667 Simplifying a = 0.6666666667b + 0.6666666667 Reorder the terms: a = 0.6666666667 + 0.6666666667b
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