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Simplifying (a + 2)(a + 5) + -1a(a + 3) = 26 Reorder the terms: (2 + a)(a + 5) + -1a(a + 3) = 26 Reorder the terms: (2 + a)(5 + a) + -1a(a + 3) = 26 Multiply (2 + a) * (5 + a) (2(5 + a) + a(5 + a)) + -1a(a + 3) = 26 ((5 * 2 + a * 2) + a(5 + a)) + -1a(a + 3) = 26 ((10 + 2a) + a(5 + a)) + -1a(a + 3) = 26 (10 + 2a + (5 * a + a * a)) + -1a(a + 3) = 26 (10 + 2a + (5a + a2)) + -1a(a + 3) = 26 Combine like terms: 2a + 5a = 7a (10 + 7a + a2) + -1a(a + 3) = 26 Reorder the terms: 10 + 7a + a2 + -1a(3 + a) = 26 10 + 7a + a2 + (3 * -1a + a * -1a) = 26 10 + 7a + a2 + (-3a + -1a2) = 26 Reorder the terms: 10 + 7a + -3a + a2 + -1a2 = 26 Combine like terms: 7a + -3a = 4a 10 + 4a + a2 + -1a2 = 26 Combine like terms: a2 + -1a2 = 0 10 + 4a + 0 = 26 10 + 4a = 26 Solving 10 + 4a = 26 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 + -10 + 4a = 26 + -10 Combine like terms: 10 + -10 = 0 0 + 4a = 26 + -10 4a = 26 + -10 Combine like terms: 26 + -10 = 16 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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