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Simplifying 8a + b + -2c + a + 2b + 3c + -5b = 0 Reorder the terms: 8a + a + b + 2b + -5b + -2c + 3c = 0 Combine like terms: 8a + a = 9a 9a + b + 2b + -5b + -2c + 3c = 0 Combine like terms: b + 2b = 3b 9a + 3b + -5b + -2c + 3c = 0 Combine like terms: 3b + -5b = -2b 9a + -2b + -2c + 3c = 0 Combine like terms: -2c + 3c = 1c 9a + -2b + 1c = 0 Solving 9a + -2b + 1c = 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. 9a + -2b + 2b + 1c = 0 + 2b Combine like terms: -2b + 2b = 0 9a + 0 + 1c = 0 + 2b 9a + 1c = 0 + 2b Remove the zero: 9a + 1c = 2b Add '-1c' to each side of the equation. 9a + 1c + -1c = 2b + -1c Combine like terms: 1c + -1c = 0 9a + 0 = 2b + -1c 9a = 2b + -1c Divide each side by '9'. a = 0.2222222222b + -0.1111111111c Simplifying a = 0.2222222222b + -0.1111111111c
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