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Simplifying 18a + 13b + 5c + 2c + -3b + -2a = 0 Reorder the terms: 18a + -2a + 13b + -3b + 5c + 2c = 0 Combine like terms: 18a + -2a = 16a 16a + 13b + -3b + 5c + 2c = 0 Combine like terms: 13b + -3b = 10b 16a + 10b + 5c + 2c = 0 Combine like terms: 5c + 2c = 7c 16a + 10b + 7c = 0 Solving 16a + 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. 16a + 10b + -10b + 7c = 0 + -10b Combine like terms: 10b + -10b = 0 16a + 0 + 7c = 0 + -10b 16a + 7c = 0 + -10b Remove the zero: 16a + 7c = -10b Add '-7c' to each side of the equation. 16a + 7c + -7c = -10b + -7c Combine like terms: 7c + -7c = 0 16a + 0 = -10b + -7c 16a = -10b + -7c Divide each side by '16'. a = -0.625b + -0.4375c Simplifying a = -0.625b + -0.4375c
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