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Simplifying 9(2a + -6b) + 7(2a + 4b) = 0 (2a * 9 + -6b * 9) + 7(2a + 4b) = 0 (18a + -54b) + 7(2a + 4b) = 0 18a + -54b + (2a * 7 + 4b * 7) = 0 18a + -54b + (14a + 28b) = 0 Reorder the terms: 18a + 14a + -54b + 28b = 0 Combine like terms: 18a + 14a = 32a 32a + -54b + 28b = 0 Combine like terms: -54b + 28b = -26b 32a + -26b = 0 Solving 32a + -26b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '26b' to each side of the equation. 32a + -26b + 26b = 0 + 26b Combine like terms: -26b + 26b = 0 32a + 0 = 0 + 26b 32a = 0 + 26b Remove the zero: 32a = 26b Divide each side by '32'. a = 0.8125b Simplifying a = 0.8125b
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