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Simplifying 16a + 15b + 5c + 3c + -6b + -4a = 0 Reorder the terms: 16a + -4a + 15b + -6b + 5c + 3c = 0 Combine like terms: 16a + -4a = 12a 12a + 15b + -6b + 5c + 3c = 0 Combine like terms: 15b + -6b = 9b 12a + 9b + 5c + 3c = 0 Combine like terms: 5c + 3c = 8c 12a + 9b + 8c = 0 Solving 12a + 9b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 12a + 9b + -9b + 8c = 0 + -9b Combine like terms: 9b + -9b = 0 12a + 0 + 8c = 0 + -9b 12a + 8c = 0 + -9b Remove the zero: 12a + 8c = -9b Add '-8c' to each side of the equation. 12a + 8c + -8c = -9b + -8c Combine like terms: 8c + -8c = 0 12a + 0 = -9b + -8c 12a = -9b + -8c Divide each side by '12'. a = -0.75b + -0.6666666667c Simplifying a = -0.75b + -0.6666666667c
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