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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 = 18 18 + -9a + 8a = 11 Combine like terms: -9a + 8a = -1a 18 + -1a = 11 Solving 18 + -1a = 11 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1a = 11 + -18 Combine like terms: 18 + -18 = 0 0 + -1a = 11 + -18 -1a = 11 + -18 Combine like terms: 11 + -18 = -7 -1a = -7 Divide each side by '-1'. a = 7 Simplifying a = 7
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