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Simplifying 2a + 3c + 5c + -2b = 0 Reorder the terms: 2a + -2b + 3c + 5c = 0 Combine like terms: 3c + 5c = 8c 2a + -2b + 8c = 0 Solving 2a + -2b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 2a + -2b + 2b + 8c = 0 + 2b Combine like terms: -2b + 2b = 0 2a + 0 + 8c = 0 + 2b 2a + 8c = 0 + 2b Remove the zero: 2a + 8c = 2b Add '-8c' to each side of the equation. 2a + 8c + -8c = 2b + -8c Combine like terms: 8c + -8c = 0 2a + 0 = 2b + -8c 2a = 2b + -8c Divide each side by '2'. a = b + -4c Simplifying a = b + -4c
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