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Simplifying [9(a + 5) + -15] + [3(a + -3) + 5] = 0 Reorder the terms: [9(5 + a) + -15] + [3(a + -3) + 5] = 0 [(5 * 9 + a * 9) + -15] + [3(a + -3) + 5] = 0 [(45 + 9a) + -15] + [3(a + -3) + 5] = 0 Reorder the terms: [45 + -15 + 9a] + [3(a + -3) + 5] = 0 Combine like terms: 45 + -15 = 30 [30 + 9a] + [3(a + -3) + 5] = 0 Remove brackets around [30 + 9a] 30 + 9a + [3(a + -3) + 5] = 0 Reorder the terms: 30 + 9a + [3(-3 + a) + 5] = 0 30 + 9a + [(-3 * 3 + a * 3) + 5] = 0 30 + 9a + [(-9 + 3a) + 5] = 0 Reorder the terms: 30 + 9a + [-9 + 5 + 3a] = 0 Combine like terms: -9 + 5 = -4 30 + 9a + [-4 + 3a] = 0 Remove brackets around [-4 + 3a] 30 + 9a + -4 + 3a = 0 Reorder the terms: 30 + -4 + 9a + 3a = 0 Combine like terms: 30 + -4 = 26 26 + 9a + 3a = 0 Combine like terms: 9a + 3a = 12a 26 + 12a = 0 Solving 26 + 12a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 12a = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 12a = 0 + -26 12a = 0 + -26 Combine like terms: 0 + -26 = -26 12a = -26 Divide each side by '12'. a = -2.166666667 Simplifying a = -2.166666667
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