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Simplifying 18a + 16b + 3c + 5c + -4b + -5a = 0 Reorder the terms: 18a + -5a + 16b + -4b + 3c + 5c = 0 Combine like terms: 18a + -5a = 13a 13a + 16b + -4b + 3c + 5c = 0 Combine like terms: 16b + -4b = 12b 13a + 12b + 3c + 5c = 0 Combine like terms: 3c + 5c = 8c 13a + 12b + 8c = 0 Solving 13a + 12b + 8c = 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. 13a + 12b + -12b + 8c = 0 + -12b Combine like terms: 12b + -12b = 0 13a + 0 + 8c = 0 + -12b 13a + 8c = 0 + -12b Remove the zero: 13a + 8c = -12b Add '-8c' to each side of the equation. 13a + 8c + -8c = -12b + -8c Combine like terms: 8c + -8c = 0 13a + 0 = -12b + -8c 13a = -12b + -8c Divide each side by '13'. a = -0.9230769231b + -0.6153846154c Simplifying a = -0.9230769231b + -0.6153846154c
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