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Simplifying (a + 2 + 3)(a + 3) = a(a + 2) + 105 Reorder the terms: (2 + 3 + a)(a + 3) = a(a + 2) + 105 Combine like terms: 2 + 3 = 5 (5 + a)(a + 3) = a(a + 2) + 105 Reorder the terms: (5 + a)(3 + a) = a(a + 2) + 105 Multiply (5 + a) * (3 + a) (5(3 + a) + a(3 + a)) = a(a + 2) + 105 ((3 * 5 + a * 5) + a(3 + a)) = a(a + 2) + 105 ((15 + 5a) + a(3 + a)) = a(a + 2) + 105 (15 + 5a + (3 * a + a * a)) = a(a + 2) + 105 (15 + 5a + (3a + a2)) = a(a + 2) + 105 Combine like terms: 5a + 3a = 8a (15 + 8a + a2) = a(a + 2) + 105 Reorder the terms: 15 + 8a + a2 = a(2 + a) + 105 15 + 8a + a2 = (2 * a + a * a) + 105 15 + 8a + a2 = (2a + a2) + 105 Reorder the terms: 15 + 8a + a2 = 105 + 2a + a2 Add '-1a2' to each side of the equation. 15 + 8a + a2 + -1a2 = 105 + 2a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 15 + 8a + 0 = 105 + 2a + a2 + -1a2 15 + 8a = 105 + 2a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 15 + 8a = 105 + 2a + 0 15 + 8a = 105 + 2a Solving 15 + 8a = 105 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 15 + 8a + -2a = 105 + 2a + -2a Combine like terms: 8a + -2a = 6a 15 + 6a = 105 + 2a + -2a Combine like terms: 2a + -2a = 0 15 + 6a = 105 + 0 15 + 6a = 105 Add '-15' to each side of the equation. 15 + -15 + 6a = 105 + -15 Combine like terms: 15 + -15 = 0 0 + 6a = 105 + -15 6a = 105 + -15 Combine like terms: 105 + -15 = 90 6a = 90 Divide each side by '6'. a = 15 Simplifying a = 15
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