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Simplifying [4a + -5] + [3a + 6] = 0 Reorder the terms: [-5 + 4a] + [3a + 6] = 0 Remove brackets around [-5 + 4a] -5 + 4a + [3a + 6] = 0 Reorder the terms: -5 + 4a + [6 + 3a] = 0 Remove brackets around [6 + 3a] -5 + 4a + 6 + 3a = 0 Reorder the terms: -5 + 6 + 4a + 3a = 0 Combine like terms: -5 + 6 = 1 1 + 4a + 3a = 0 Combine like terms: 4a + 3a = 7a 1 + 7a = 0 Solving 1 + 7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7a = 0 + -1 7a = 0 + -1 Combine like terms: 0 + -1 = -1 7a = -1 Divide each side by '7'. a = -0.1428571429 Simplifying a = -0.1428571429
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