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Simplifying 9a + 4b + -5c + -1 + -3a + 4b + 5c = 0 Reorder the terms: -1 + 9a + -3a + 4b + 4b + -5c + 5c = 0 Combine like terms: 9a + -3a = 6a -1 + 6a + 4b + 4b + -5c + 5c = 0 Combine like terms: 4b + 4b = 8b -1 + 6a + 8b + -5c + 5c = 0 Combine like terms: -5c + 5c = 0 -1 + 6a + 8b + 0 = 0 -1 + 6a + 8b = 0 Solving -1 + 6a + 8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 6a + 1 + 8b = 0 + 1 Reorder the terms: -1 + 1 + 6a + 8b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6a + 8b = 0 + 1 6a + 8b = 0 + 1 Combine like terms: 0 + 1 = 1 6a + 8b = 1 Add '-8b' to each side of the equation. 6a + 8b + -8b = 1 + -8b Combine like terms: 8b + -8b = 0 6a + 0 = 1 + -8b 6a = 1 + -8b Divide each side by '6'. a = 0.1666666667 + -1.333333333b Simplifying a = 0.1666666667 + -1.333333333b
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