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Simplifying 16a + 11b + 6c + 6c + -2b + -4a = 0 Reorder the terms: 16a + -4a + 11b + -2b + 6c + 6c = 0 Combine like terms: 16a + -4a = 12a 12a + 11b + -2b + 6c + 6c = 0 Combine like terms: 11b + -2b = 9b 12a + 9b + 6c + 6c = 0 Combine like terms: 6c + 6c = 12c 12a + 9b + 12c = 0 Solving 12a + 9b + 12c = 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 + 12c = 0 + -9b Combine like terms: 9b + -9b = 0 12a + 0 + 12c = 0 + -9b 12a + 12c = 0 + -9b Remove the zero: 12a + 12c = -9b Add '-12c' to each side of the equation. 12a + 12c + -12c = -9b + -12c Combine like terms: 12c + -12c = 0 12a + 0 = -9b + -12c 12a = -9b + -12c Divide each side by '12'. a = -0.75b + -1c Simplifying a = -0.75b + -1c
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