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Simplifying 16a + 7c2 + 5 + -7a + c = 0 Reorder the terms: 5 + 16a + -7a + c + 7c2 = 0 Combine like terms: 16a + -7a = 9a 5 + 9a + c + 7c2 = 0 Solving 5 + 9a + c + 7c2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 9a + c + -5 + 7c2 = 0 + -5 Reorder the terms: 5 + -5 + 9a + c + 7c2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9a + c + 7c2 = 0 + -5 9a + c + 7c2 = 0 + -5 Combine like terms: 0 + -5 = -5 9a + c + 7c2 = -5 Add '-1c' to each side of the equation. 9a + c + -1c + 7c2 = -5 + -1c Combine like terms: c + -1c = 0 9a + 0 + 7c2 = -5 + -1c 9a + 7c2 = -5 + -1c Add '-7c2' to each side of the equation. 9a + 7c2 + -7c2 = -5 + -1c + -7c2 Combine like terms: 7c2 + -7c2 = 0 9a + 0 = -5 + -1c + -7c2 9a = -5 + -1c + -7c2 Divide each side by '9'. a = -0.5555555556 + -0.1111111111c + -0.7777777778c2 Simplifying a = -0.5555555556 + -0.1111111111c + -0.7777777778c2
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