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Simplifying [9(a + 5) + -16] + [3(a + -2) + 5] = 0 Reorder the terms: [9(5 + a) + -16] + [3(a + -2) + 5] = 0 [(5 * 9 + a * 9) + -16] + [3(a + -2) + 5] = 0 [(45 + 9a) + -16] + [3(a + -2) + 5] = 0 Reorder the terms: [45 + -16 + 9a] + [3(a + -2) + 5] = 0 Combine like terms: 45 + -16 = 29 [29 + 9a] + [3(a + -2) + 5] = 0 Remove brackets around [29 + 9a] 29 + 9a + [3(a + -2) + 5] = 0 Reorder the terms: 29 + 9a + [3(-2 + a) + 5] = 0 29 + 9a + [(-2 * 3 + a * 3) + 5] = 0 29 + 9a + [(-6 + 3a) + 5] = 0 Reorder the terms: 29 + 9a + [-6 + 5 + 3a] = 0 Combine like terms: -6 + 5 = -1 29 + 9a + [-1 + 3a] = 0 Remove brackets around [-1 + 3a] 29 + 9a + -1 + 3a = 0 Reorder the terms: 29 + -1 + 9a + 3a = 0 Combine like terms: 29 + -1 = 28 28 + 9a + 3a = 0 Combine like terms: 9a + 3a = 12a 28 + 12a = 0 Solving 28 + 12a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 12a = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 12a = 0 + -28 12a = 0 + -28 Combine like terms: 0 + -28 = -28 12a = -28 Divide each side by '12'. a = -2.333333333 Simplifying a = -2.333333333
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