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Simplifying 9(8a + 6b) + -9(a + 9b) = 0 (8a * 9 + 6b * 9) + -9(a + 9b) = 0 (72a + 54b) + -9(a + 9b) = 0 72a + 54b + (a * -9 + 9b * -9) = 0 72a + 54b + (-9a + -81b) = 0 Reorder the terms: 72a + -9a + 54b + -81b = 0 Combine like terms: 72a + -9a = 63a 63a + 54b + -81b = 0 Combine like terms: 54b + -81b = -27b 63a + -27b = 0 Solving 63a + -27b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '27b' to each side of the equation. 63a + -27b + 27b = 0 + 27b Combine like terms: -27b + 27b = 0 63a + 0 = 0 + 27b 63a = 0 + 27b Remove the zero: 63a = 27b Divide each side by '63'. a = 0.4285714286b Simplifying a = 0.4285714286b
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