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Simplifying (5a + -9b)(13) = 0 Reorder the terms for easier multiplication: 13(5a + -9b) = 0 (5a * 13 + -9b * 13) = 0 (65a + -117b) = 0 Solving 65a + -117b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '117b' to each side of the equation. 65a + -117b + 117b = 0 + 117b Combine like terms: -117b + 117b = 0 65a + 0 = 0 + 117b 65a = 0 + 117b Remove the zero: 65a = 117b Divide each side by '65'. a = 1.8b Simplifying a = 1.8b
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