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Simplifying 16a + 17b + 4c + 5c + -5b + -4a = 0 Reorder the terms: 16a + -4a + 17b + -5b + 4c + 5c = 0 Combine like terms: 16a + -4a = 12a 12a + 17b + -5b + 4c + 5c = 0 Combine like terms: 17b + -5b = 12b 12a + 12b + 4c + 5c = 0 Combine like terms: 4c + 5c = 9c 12a + 12b + 9c = 0 Solving 12a + 12b + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 12a + 12b + -12b + 9c = 0 + -12b Combine like terms: 12b + -12b = 0 12a + 0 + 9c = 0 + -12b 12a + 9c = 0 + -12b Remove the zero: 12a + 9c = -12b Add '-9c' to each side of the equation. 12a + 9c + -9c = -12b + -9c Combine like terms: 9c + -9c = 0 12a + 0 = -12b + -9c 12a = -12b + -9c Divide each side by '12'. a = -1b + -0.75c Simplifying a = -1b + -0.75c
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