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Simplifying 3a + 2b2 + 6c + a + 2c + b2 + c = 0 Reorder the terms: 3a + a + 2b2 + b2 + 6c + 2c + c = 0 Combine like terms: 3a + a = 4a 4a + 2b2 + b2 + 6c + 2c + c = 0 Combine like terms: 2b2 + b2 = 3b2 4a + 3b2 + 6c + 2c + c = 0 Combine like terms: 6c + 2c = 8c 4a + 3b2 + 8c + c = 0 Combine like terms: 8c + c = 9c 4a + 3b2 + 9c = 0 Solving 4a + 3b2 + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b2' to each side of the equation. 4a + 3b2 + -3b2 + 9c = 0 + -3b2 Combine like terms: 3b2 + -3b2 = 0 4a + 0 + 9c = 0 + -3b2 4a + 9c = 0 + -3b2 Remove the zero: 4a + 9c = -3b2 Add '-9c' to each side of the equation. 4a + 9c + -9c = -3b2 + -9c Combine like terms: 9c + -9c = 0 4a + 0 = -3b2 + -9c 4a = -3b2 + -9c Divide each side by '4'. a = -0.75b2 + -2.25c Simplifying a = -0.75b2 + -2.25c
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