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Simplifying 3a + -4b + 6a + 9b + -1c + 3c = 0 Reorder the terms: 3a + 6a + -4b + 9b + -1c + 3c = 0 Combine like terms: 3a + 6a = 9a 9a + -4b + 9b + -1c + 3c = 0 Combine like terms: -4b + 9b = 5b 9a + 5b + -1c + 3c = 0 Combine like terms: -1c + 3c = 2c 9a + 5b + 2c = 0 Solving 9a + 5b + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 9a + 5b + -5b + 2c = 0 + -5b Combine like terms: 5b + -5b = 0 9a + 0 + 2c = 0 + -5b 9a + 2c = 0 + -5b Remove the zero: 9a + 2c = -5b Add '-2c' to each side of the equation. 9a + 2c + -2c = -5b + -2c Combine like terms: 2c + -2c = 0 9a + 0 = -5b + -2c 9a = -5b + -2c Divide each side by '9'. a = -0.5555555556b + -0.2222222222c Simplifying a = -0.5555555556b + -0.2222222222c
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