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Simplifying 2c2 + 9a + 6 = 9c + 14 Reorder the terms: 6 + 9a + 2c2 = 9c + 14 Reorder the terms: 6 + 9a + 2c2 = 14 + 9c Solving 6 + 9a + 2c2 = 14 + 9c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 9a + -6 + 2c2 = 14 + -6 + 9c Reorder the terms: 6 + -6 + 9a + 2c2 = 14 + -6 + 9c Combine like terms: 6 + -6 = 0 0 + 9a + 2c2 = 14 + -6 + 9c 9a + 2c2 = 14 + -6 + 9c Combine like terms: 14 + -6 = 8 9a + 2c2 = 8 + 9c Add '-2c2' to each side of the equation. 9a + 2c2 + -2c2 = 8 + 9c + -2c2 Combine like terms: 2c2 + -2c2 = 0 9a + 0 = 8 + 9c + -2c2 9a = 8 + 9c + -2c2 Divide each side by '9'. a = 0.8888888889 + c + -0.2222222222c2 Simplifying a = 0.8888888889 + c + -0.2222222222c2
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