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Simplifying -3a + 2b + -2c + 8a + -1b = 0 Reorder the terms: -3a + 8a + 2b + -1b + -2c = 0 Combine like terms: -3a + 8a = 5a 5a + 2b + -1b + -2c = 0 Combine like terms: 2b + -1b = 1b 5a + 1b + -2c = 0 Solving 5a + 1b + -2c = 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 + -2c = 0 + -1b Combine like terms: 1b + -1b = 0 5a + 0 + -2c = 0 + -1b 5a + -2c = 0 + -1b Remove the zero: 5a + -2c = -1b Add '2c' to each side of the equation. 5a + -2c + 2c = -1b + 2c Combine like terms: -2c + 2c = 0 5a + 0 = -1b + 2c 5a = -1b + 2c Divide each side by '5'. a = -0.2b + 0.4c Simplifying a = -0.2b + 0.4c
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