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Simplifying 20a + 14b + 2c + 5c + -4b + -2a = 0 Reorder the terms: 20a + -2a + 14b + -4b + 2c + 5c = 0 Combine like terms: 20a + -2a = 18a 18a + 14b + -4b + 2c + 5c = 0 Combine like terms: 14b + -4b = 10b 18a + 10b + 2c + 5c = 0 Combine like terms: 2c + 5c = 7c 18a + 10b + 7c = 0 Solving 18a + 10b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. 18a + 10b + -10b + 7c = 0 + -10b Combine like terms: 10b + -10b = 0 18a + 0 + 7c = 0 + -10b 18a + 7c = 0 + -10b Remove the zero: 18a + 7c = -10b Add '-7c' to each side of the equation. 18a + 7c + -7c = -10b + -7c Combine like terms: 7c + -7c = 0 18a + 0 = -10b + -7c 18a = -10b + -7c Divide each side by '18'. a = -0.5555555556b + -0.3888888889c Simplifying a = -0.5555555556b + -0.3888888889c
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