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Simplifying 16a + 16b + 2c + 2c + -5b + -4a = 0 Reorder the terms: 16a + -4a + 16b + -5b + 2c + 2c = 0 Combine like terms: 16a + -4a = 12a 12a + 16b + -5b + 2c + 2c = 0 Combine like terms: 16b + -5b = 11b 12a + 11b + 2c + 2c = 0 Combine like terms: 2c + 2c = 4c 12a + 11b + 4c = 0 Solving 12a + 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. 12a + 11b + -11b + 4c = 0 + -11b Combine like terms: 11b + -11b = 0 12a + 0 + 4c = 0 + -11b 12a + 4c = 0 + -11b Remove the zero: 12a + 4c = -11b Add '-4c' to each side of the equation. 12a + 4c + -4c = -11b + -4c Combine like terms: 4c + -4c = 0 12a + 0 = -11b + -4c 12a = -11b + -4c Divide each side by '12'. a = -0.9166666667b + -0.3333333333c Simplifying a = -0.9166666667b + -0.3333333333c
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