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Simplifying 8a + 4b + -9(7a + -8b) = 0 8a + 4b + (7a * -9 + -8b * -9) = 0 8a + 4b + (-63a + 72b) = 0 Reorder the terms: 8a + -63a + 4b + 72b = 0 Combine like terms: 8a + -63a = -55a -55a + 4b + 72b = 0 Combine like terms: 4b + 72b = 76b -55a + 76b = 0 Solving -55a + 76b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-76b' to each side of the equation. -55a + 76b + -76b = 0 + -76b Combine like terms: 76b + -76b = 0 -55a + 0 = 0 + -76b -55a = 0 + -76b Remove the zero: -55a = -76b Divide each side by '-55'. a = 1.381818182b Simplifying a = 1.381818182b
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