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Simplifying 16a + 18b + 6c + 6c + -5b + -5a = 0 Reorder the terms: 16a + -5a + 18b + -5b + 6c + 6c = 0 Combine like terms: 16a + -5a = 11a 11a + 18b + -5b + 6c + 6c = 0 Combine like terms: 18b + -5b = 13b 11a + 13b + 6c + 6c = 0 Combine like terms: 6c + 6c = 12c 11a + 13b + 12c = 0 Solving 11a + 13b + 12c = 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 + 12c = 0 + -13b Combine like terms: 13b + -13b = 0 11a + 0 + 12c = 0 + -13b 11a + 12c = 0 + -13b Remove the zero: 11a + 12c = -13b Add '-12c' to each side of the equation. 11a + 12c + -12c = -13b + -12c Combine like terms: 12c + -12c = 0 11a + 0 = -13b + -12c 11a = -13b + -12c Divide each side by '11'. a = -1.181818182b + -1.090909091c Simplifying a = -1.181818182b + -1.090909091c
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