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Simplifying 4(5A + 2) = 9(2A + 2) Reorder the terms: 4(2 + 5A) = 9(2A + 2) (2 * 4 + 5A * 4) = 9(2A + 2) (8 + 20A) = 9(2A + 2) Reorder the terms: 8 + 20A = 9(2 + 2A) 8 + 20A = (2 * 9 + 2A * 9) 8 + 20A = (18 + 18A) Solving 8 + 20A = 18 + 18A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-18A' to each side of the equation. 8 + 20A + -18A = 18 + 18A + -18A Combine like terms: 20A + -18A = 2A 8 + 2A = 18 + 18A + -18A Combine like terms: 18A + -18A = 0 8 + 2A = 18 + 0 8 + 2A = 18 Add '-8' to each side of the equation. 8 + -8 + 2A = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 2A = 18 + -8 2A = 18 + -8 Combine like terms: 18 + -8 = 10 2A = 10 Divide each side by '2'. A = 5 Simplifying A = 5
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