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Simplifying 16a + 18b + 4c + 4c + -4b + -4a = 0 Reorder the terms: 16a + -4a + 18b + -4b + 4c + 4c = 0 Combine like terms: 16a + -4a = 12a 12a + 18b + -4b + 4c + 4c = 0 Combine like terms: 18b + -4b = 14b 12a + 14b + 4c + 4c = 0 Combine like terms: 4c + 4c = 8c 12a + 14b + 8c = 0 Solving 12a + 14b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 12a + 14b + -14b + 8c = 0 + -14b Combine like terms: 14b + -14b = 0 12a + 0 + 8c = 0 + -14b 12a + 8c = 0 + -14b Remove the zero: 12a + 8c = -14b Add '-8c' to each side of the equation. 12a + 8c + -8c = -14b + -8c Combine like terms: 8c + -8c = 0 12a + 0 = -14b + -8c 12a = -14b + -8c Divide each side by '12'. a = -1.166666667b + -0.6666666667c Simplifying a = -1.166666667b + -0.6666666667c
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