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Simplifying 17a + 20b + 2c + 2c + -2b + -6a = 0 Reorder the terms: 17a + -6a + 20b + -2b + 2c + 2c = 0 Combine like terms: 17a + -6a = 11a 11a + 20b + -2b + 2c + 2c = 0 Combine like terms: 20b + -2b = 18b 11a + 18b + 2c + 2c = 0 Combine like terms: 2c + 2c = 4c 11a + 18b + 4c = 0 Solving 11a + 18b + 4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18b' to each side of the equation. 11a + 18b + -18b + 4c = 0 + -18b Combine like terms: 18b + -18b = 0 11a + 0 + 4c = 0 + -18b 11a + 4c = 0 + -18b Remove the zero: 11a + 4c = -18b Add '-4c' to each side of the equation. 11a + 4c + -4c = -18b + -4c Combine like terms: 4c + -4c = 0 11a + 0 = -18b + -4c 11a = -18b + -4c Divide each side by '11'. a = -1.636363636b + -0.3636363636c Simplifying a = -1.636363636b + -0.3636363636c
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