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Simplifying 20a + 16b + 2c + 5c + -5b + -2a = 0 Reorder the terms: 20a + -2a + 16b + -5b + 2c + 5c = 0 Combine like terms: 20a + -2a = 18a 18a + 16b + -5b + 2c + 5c = 0 Combine like terms: 16b + -5b = 11b 18a + 11b + 2c + 5c = 0 Combine like terms: 2c + 5c = 7c 18a + 11b + 7c = 0 Solving 18a + 11b + 7c = 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 + 7c = 0 + -11b Combine like terms: 11b + -11b = 0 18a + 0 + 7c = 0 + -11b 18a + 7c = 0 + -11b Remove the zero: 18a + 7c = -11b Add '-7c' to each side of the equation. 18a + 7c + -7c = -11b + -7c Combine like terms: 7c + -7c = 0 18a + 0 = -11b + -7c 18a = -11b + -7c Divide each side by '18'. a = -0.6111111111b + -0.3888888889c Simplifying a = -0.6111111111b + -0.3888888889c
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