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Simplifying 20a + 17b + 2c + 2c + -6b + -2a = 0 Reorder the terms: 20a + -2a + 17b + -6b + 2c + 2c = 0 Combine like terms: 20a + -2a = 18a 18a + 17b + -6b + 2c + 2c = 0 Combine like terms: 17b + -6b = 11b 18a + 11b + 2c + 2c = 0 Combine like terms: 2c + 2c = 4c 18a + 11b + 4c = 0 Solving 18a + 11b + 4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. 18a + 11b + -11b + 4c = 0 + -11b Combine like terms: 11b + -11b = 0 18a + 0 + 4c = 0 + -11b 18a + 4c = 0 + -11b Remove the zero: 18a + 4c = -11b Add '-4c' to each side of the equation. 18a + 4c + -4c = -11b + -4c Combine like terms: 4c + -4c = 0 18a + 0 = -11b + -4c 18a = -11b + -4c Divide each side by '18'. a = -0.6111111111b + -0.2222222222c Simplifying a = -0.6111111111b + -0.2222222222c
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