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Simplifying 9(9a + 3b) + -8(a + 8b) = 0 (9a * 9 + 3b * 9) + -8(a + 8b) = 0 (81a + 27b) + -8(a + 8b) = 0 81a + 27b + (a * -8 + 8b * -8) = 0 81a + 27b + (-8a + -64b) = 0 Reorder the terms: 81a + -8a + 27b + -64b = 0 Combine like terms: 81a + -8a = 73a 73a + 27b + -64b = 0 Combine like terms: 27b + -64b = -37b 73a + -37b = 0 Solving 73a + -37b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '37b' to each side of the equation. 73a + -37b + 37b = 0 + 37b Combine like terms: -37b + 37b = 0 73a + 0 = 0 + 37b 73a = 0 + 37b Remove the zero: 73a = 37b Divide each side by '73'. a = 0.5068493151b Simplifying a = 0.5068493151b
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