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Simplifying -4(11a + -6) + 9(4 + 2a) = 0 Reorder the terms: -4(-6 + 11a) + 9(4 + 2a) = 0 (-6 * -4 + 11a * -4) + 9(4 + 2a) = 0 (24 + -44a) + 9(4 + 2a) = 0 24 + -44a + (4 * 9 + 2a * 9) = 0 24 + -44a + (36 + 18a) = 0 Reorder the terms: 24 + 36 + -44a + 18a = 0 Combine like terms: 24 + 36 = 60 60 + -44a + 18a = 0 Combine like terms: -44a + 18a = -26a 60 + -26a = 0 Solving 60 + -26a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -26a = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -26a = 0 + -60 -26a = 0 + -60 Combine like terms: 0 + -60 = -60 -26a = -60 Divide each side by '-26'. a = 2.307692308 Simplifying a = 2.307692308
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