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Simplifying [8(a + 5) + -17] + [3(a + -2) + 2] = 0 Reorder the terms: [8(5 + a) + -17] + [3(a + -2) + 2] = 0 [(5 * 8 + a * 8) + -17] + [3(a + -2) + 2] = 0 [(40 + 8a) + -17] + [3(a + -2) + 2] = 0 Reorder the terms: [40 + -17 + 8a] + [3(a + -2) + 2] = 0 Combine like terms: 40 + -17 = 23 [23 + 8a] + [3(a + -2) + 2] = 0 Remove brackets around [23 + 8a] 23 + 8a + [3(a + -2) + 2] = 0 Reorder the terms: 23 + 8a + [3(-2 + a) + 2] = 0 23 + 8a + [(-2 * 3 + a * 3) + 2] = 0 23 + 8a + [(-6 + 3a) + 2] = 0 Reorder the terms: 23 + 8a + [-6 + 2 + 3a] = 0 Combine like terms: -6 + 2 = -4 23 + 8a + [-4 + 3a] = 0 Remove brackets around [-4 + 3a] 23 + 8a + -4 + 3a = 0 Reorder the terms: 23 + -4 + 8a + 3a = 0 Combine like terms: 23 + -4 = 19 19 + 8a + 3a = 0 Combine like terms: 8a + 3a = 11a 19 + 11a = 0 Solving 19 + 11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 11a = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 11a = 0 + -19 11a = 0 + -19 Combine like terms: 0 + -19 = -19 11a = -19 Divide each side by '11'. a = -1.727272727 Simplifying a = -1.727272727
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