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Simplifying A + (a + 2)(a + 2 + 3) = 55 Reorder the terms: A + (2 + a)(a + 2 + 3) = 55 Reorder the terms: A + (2 + a)(2 + 3 + a) = 55 Combine like terms: 2 + 3 = 5 A + (2 + a)(5 + a) = 55 Multiply (2 + a) * (5 + a) A + (2(5 + a) + a(5 + a)) = 55 A + ((5 * 2 + a * 2) + a(5 + a)) = 55 A + ((10 + 2a) + a(5 + a)) = 55 A + (10 + 2a + (5 * a + a * a)) = 55 A + (10 + 2a + (5a + a2)) = 55 Combine like terms: 2a + 5a = 7a A + (10 + 7a + a2) = 55 Reorder the terms: 10 + A + 7a + a2 = 55 Solving 10 + A + 7a + a2 = 55 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + A + 7a + -10 + a2 = 55 + -10 Reorder the terms: 10 + -10 + A + 7a + a2 = 55 + -10 Combine like terms: 10 + -10 = 0 0 + A + 7a + a2 = 55 + -10 A + 7a + a2 = 55 + -10 Combine like terms: 55 + -10 = 45 A + 7a + a2 = 45 Add '-7a' to each side of the equation. A + 7a + -7a + a2 = 45 + -7a Combine like terms: 7a + -7a = 0 A + 0 + a2 = 45 + -7a A + a2 = 45 + -7a Add '-1a2' to each side of the equation. A + a2 + -1a2 = 45 + -7a + -1a2 Combine like terms: a2 + -1a2 = 0 A + 0 = 45 + -7a + -1a2 A = 45 + -7a + -1a2 Simplifying A = 45 + -7a + -1a2
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