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Simplifying 9(2 + a) + 4(2a + 9) = 11 (2 * 9 + a * 9) + 4(2a + 9) = 11 (18 + 9a) + 4(2a + 9) = 11 Reorder the terms: 18 + 9a + 4(9 + 2a) = 11 18 + 9a + (9 * 4 + 2a * 4) = 11 18 + 9a + (36 + 8a) = 11 Reorder the terms: 18 + 36 + 9a + 8a = 11 Combine like terms: 18 + 36 = 54 54 + 9a + 8a = 11 Combine like terms: 9a + 8a = 17a 54 + 17a = 11 Solving 54 + 17a = 11 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 17a = 11 + -54 Combine like terms: 54 + -54 = 0 0 + 17a = 11 + -54 17a = 11 + -54 Combine like terms: 11 + -54 = -43 17a = -43 Divide each side by '17'. a = -2.529411765 Simplifying a = -2.529411765
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