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Simplifying 2c + 8a + 3b + -3a + 5c + -2b = 0 Reorder the terms: 8a + -3a + 3b + -2b + 2c + 5c = 0 Combine like terms: 8a + -3a = 5a 5a + 3b + -2b + 2c + 5c = 0 Combine like terms: 3b + -2b = 1b 5a + 1b + 2c + 5c = 0 Combine like terms: 2c + 5c = 7c 5a + 1b + 7c = 0 Solving 5a + 1b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 5a + 1b + -1b + 7c = 0 + -1b Combine like terms: 1b + -1b = 0 5a + 0 + 7c = 0 + -1b 5a + 7c = 0 + -1b Remove the zero: 5a + 7c = -1b Add '-7c' to each side of the equation. 5a + 7c + -7c = -1b + -7c Combine like terms: 7c + -7c = 0 5a + 0 = -1b + -7c 5a = -1b + -7c Divide each side by '5'. a = -0.2b + -1.4c Simplifying a = -0.2b + -1.4c
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