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Simplifying 9(5a + 2b) + -4(a + 7b) = 0 (5a * 9 + 2b * 9) + -4(a + 7b) = 0 (45a + 18b) + -4(a + 7b) = 0 45a + 18b + (a * -4 + 7b * -4) = 0 45a + 18b + (-4a + -28b) = 0 Reorder the terms: 45a + -4a + 18b + -28b = 0 Combine like terms: 45a + -4a = 41a 41a + 18b + -28b = 0 Combine like terms: 18b + -28b = -10b 41a + -10b = 0 Solving 41a + -10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10b' to each side of the equation. 41a + -10b + 10b = 0 + 10b Combine like terms: -10b + 10b = 0 41a + 0 = 0 + 10b 41a = 0 + 10b Remove the zero: 41a = 10b Divide each side by '41'. a = 0.243902439b Simplifying a = 0.243902439b
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