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Simplifying -9b + 4a + 2c + 5b + -9a = 0 Reorder the terms: 4a + -9a + -9b + 5b + 2c = 0 Combine like terms: 4a + -9a = -5a -5a + -9b + 5b + 2c = 0 Combine like terms: -9b + 5b = -4b -5a + -4b + 2c = 0 Solving -5a + -4b + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. -5a + -4b + 4b + 2c = 0 + 4b Combine like terms: -4b + 4b = 0 -5a + 0 + 2c = 0 + 4b -5a + 2c = 0 + 4b Remove the zero: -5a + 2c = 4b Add '-2c' to each side of the equation. -5a + 2c + -2c = 4b + -2c Combine like terms: 2c + -2c = 0 -5a + 0 = 4b + -2c -5a = 4b + -2c Divide each side by '-5'. a = -0.8b + 0.4c Simplifying a = -0.8b + 0.4c
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