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Simplifying 3a + b + 2a + -5c + -1b + -2x2 + 8a = 0 Reorder the terms: 3a + 2a + 8a + b + -1b + -5c + -2x2 = 0 Combine like terms: 3a + 2a = 5a 5a + 8a + b + -1b + -5c + -2x2 = 0 Combine like terms: 5a + 8a = 13a 13a + b + -1b + -5c + -2x2 = 0 Combine like terms: b + -1b = 0 13a + 0 + -5c + -2x2 = 0 13a + -5c + -2x2 = 0 Solving 13a + -5c + -2x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5c' to each side of the equation. 13a + -5c + 5c + -2x2 = 0 + 5c Combine like terms: -5c + 5c = 0 13a + 0 + -2x2 = 0 + 5c 13a + -2x2 = 0 + 5c Remove the zero: 13a + -2x2 = 5c Add '2x2' to each side of the equation. 13a + -2x2 + 2x2 = 5c + 2x2 Combine like terms: -2x2 + 2x2 = 0 13a + 0 = 5c + 2x2 13a = 5c + 2x2 Divide each side by '13'. a = 0.3846153846c + 0.1538461538x2 Simplifying a = 0.3846153846c + 0.1538461538x2
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