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Simplifying 16a + 17b + 6c + 4c + -4b + -5a = 0 Reorder the terms: 16a + -5a + 17b + -4b + 6c + 4c = 0 Combine like terms: 16a + -5a = 11a 11a + 17b + -4b + 6c + 4c = 0 Combine like terms: 17b + -4b = 13b 11a + 13b + 6c + 4c = 0 Combine like terms: 6c + 4c = 10c 11a + 13b + 10c = 0 Solving 11a + 13b + 10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13b' to each side of the equation. 11a + 13b + -13b + 10c = 0 + -13b Combine like terms: 13b + -13b = 0 11a + 0 + 10c = 0 + -13b 11a + 10c = 0 + -13b Remove the zero: 11a + 10c = -13b Add '-10c' to each side of the equation. 11a + 10c + -10c = -13b + -10c Combine like terms: 10c + -10c = 0 11a + 0 = -13b + -10c 11a = -13b + -10c Divide each side by '11'. a = -1.181818182b + -0.9090909091c Simplifying a = -1.181818182b + -0.9090909091c
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