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Simplifying 4a + [6a + -1(3a + -2b) + 5b] = 0 4a + [6a + (3a * -1 + -2b * -1) + 5b] = 0 4a + [6a + (-3a + 2b) + 5b] = 0 Combine like terms: 6a + -3a = 3a 4a + [3a + 2b + 5b] = 0 Combine like terms: 2b + 5b = 7b 4a + [3a + 7b] = 0 Remove brackets around [3a + 7b] 4a + 3a + 7b = 0 Combine like terms: 4a + 3a = 7a 7a + 7b = 0 Solving 7a + 7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 7a + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 7a + 0 = 0 + -7b 7a = 0 + -7b Remove the zero: 7a = -7b Divide each side by '7'. a = -1b Simplifying a = -1b
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