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Simplifying 3ac2 + 2b2c + 7ac2 + 2ac2 + b2c = 0 Reorder the terms: 3ac2 + 7ac2 + 2ac2 + 2b2c + b2c = 0 Combine like terms: 3ac2 + 7ac2 = 10ac2 10ac2 + 2ac2 + 2b2c + b2c = 0 Combine like terms: 10ac2 + 2ac2 = 12ac2 12ac2 + 2b2c + b2c = 0 Combine like terms: 2b2c + b2c = 3b2c 12ac2 + 3b2c = 0 Solving 12ac2 + 3b2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b2c' to each side of the equation. 12ac2 + 3b2c + -3b2c = 0 + -3b2c Combine like terms: 3b2c + -3b2c = 0 12ac2 + 0 = 0 + -3b2c 12ac2 = 0 + -3b2c Remove the zero: 12ac2 = -3b2c Divide each side by '12c2'. a = -0.25b2c-1 Simplifying a = -0.25b2c-1
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