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Simplifying (8(a + 5) + -16) + (3(a + -3) + 3) = 0 Reorder the terms: (8(5 + a) + -16) + (3(a + -3) + 3) = 0 ((5 * 8 + a * 8) + -16) + (3(a + -3) + 3) = 0 ((40 + 8a) + -16) + (3(a + -3) + 3) = 0 Reorder the terms: (40 + -16 + 8a) + (3(a + -3) + 3) = 0 Combine like terms: 40 + -16 = 24 (24 + 8a) + (3(a + -3) + 3) = 0 Remove parenthesis around (24 + 8a) 24 + 8a + (3(a + -3) + 3) = 0 Reorder the terms: 24 + 8a + (3(-3 + a) + 3) = 0 24 + 8a + ((-3 * 3 + a * 3) + 3) = 0 24 + 8a + ((-9 + 3a) + 3) = 0 Reorder the terms: 24 + 8a + (-9 + 3 + 3a) = 0 Combine like terms: -9 + 3 = -6 24 + 8a + (-6 + 3a) = 0 Remove parenthesis around (-6 + 3a) 24 + 8a + -6 + 3a = 0 Reorder the terms: 24 + -6 + 8a + 3a = 0 Combine like terms: 24 + -6 = 18 18 + 8a + 3a = 0 Combine like terms: 8a + 3a = 11a 18 + 11a = 0 Solving 18 + 11a = 0 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 + 11a = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 11a = 0 + -18 11a = 0 + -18 Combine like terms: 0 + -18 = -18 11a = -18 Divide each side by '11'. a = -1.636363636 Simplifying a = -1.636363636
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