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Simplifying (9a + -6b + 5c) + -1(-2a + 3b + -8c) = 0 Remove parenthesis around (9a + -6b + 5c) 9a + -6b + 5c + -1(-2a + 3b + -8c) = 0 9a + -6b + 5c + (-2a * -1 + 3b * -1 + -8c * -1) = 0 9a + -6b + 5c + (2a + -3b + 8c) = 0 Reorder the terms: 9a + 2a + -6b + -3b + 5c + 8c = 0 Combine like terms: 9a + 2a = 11a 11a + -6b + -3b + 5c + 8c = 0 Combine like terms: -6b + -3b = -9b 11a + -9b + 5c + 8c = 0 Combine like terms: 5c + 8c = 13c 11a + -9b + 13c = 0 Solving 11a + -9b + 13c = 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. 11a + -9b + 9b + 13c = 0 + 9b Combine like terms: -9b + 9b = 0 11a + 0 + 13c = 0 + 9b 11a + 13c = 0 + 9b Remove the zero: 11a + 13c = 9b Add '-13c' to each side of the equation. 11a + 13c + -13c = 9b + -13c Combine like terms: 13c + -13c = 0 11a + 0 = 9b + -13c 11a = 9b + -13c Divide each side by '11'. a = 0.8181818182b + -1.181818182c Simplifying a = 0.8181818182b + -1.181818182c
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