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Simplifying -9(2 + A) + 4(2A + 9) = 1 (2 * -9 + A * -9) + 4(2A + 9) = 1 (-18 + -9A) + 4(2A + 9) = 1 Reorder the terms: -18 + -9A + 4(9 + 2A) = 1 -18 + -9A + (9 * 4 + 2A * 4) = 1 -18 + -9A + (36 + 8A) = 1 Reorder the terms: -18 + 36 + -9A + 8A = 1 Combine like terms: -18 + 36 = 18 18 + -9A + 8A = 1 Combine like terms: -9A + 8A = -1A 18 + -1A = 1 Solving 18 + -1A = 1 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 = 1 + -18 Combine like terms: 18 + -18 = 0 0 + -1A = 1 + -18 -1A = 1 + -18 Combine like terms: 1 + -18 = -17 -1A = -17 Divide each side by '-1'. A = 17 Simplifying A = 17
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