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Simplifying 3a + 4b + -2c + 2a + -5b = 0 Reorder the terms: 3a + 2a + 4b + -5b + -2c = 0 Combine like terms: 3a + 2a = 5a 5a + 4b + -5b + -2c = 0 Combine like terms: 4b + -5b = -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 'b' to each side of the equation. 5a + -1b + b + -2c = 0 + b Combine like terms: -1b + b = 0 5a + 0 + -2c = 0 + b 5a + -2c = 0 + b Remove the zero: 5a + -2c = b Add '2c' to each side of the equation. 5a + -2c + 2c = b + 2c Combine like terms: -2c + 2c = 0 5a + 0 = b + 2c 5a = b + 2c Divide each side by '5'. a = 0.2b + 0.4c Simplifying a = 0.2b + 0.4c
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