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Simplifying 3a + -1[2b + 3a + -1(2a + -3b)] + 4a = 0 3a + -1[2b + 3a + (2a * -1 + -3b * -1)] + 4a = 0 3a + -1[2b + 3a + (-2a + 3b)] + 4a = 0 Reorder the terms: 3a + -1[3a + -2a + 2b + 3b] + 4a = 0 Combine like terms: 3a + -2a = 1a 3a + -1[1a + 2b + 3b] + 4a = 0 Combine like terms: 2b + 3b = 5b 3a + -1[1a + 5b] + 4a = 0 3a + [1a * -1 + 5b * -1] + 4a = 0 3a + [-1a + -5b] + 4a = 0 Reorder the terms: 3a + -1a + 4a + -5b = 0 Combine like terms: 3a + -1a = 2a 2a + 4a + -5b = 0 Combine like terms: 2a + 4a = 6a 6a + -5b = 0 Solving 6a + -5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 6a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 6a + 0 = 0 + 5b 6a = 0 + 5b Remove the zero: 6a = 5b Divide each side by '6'. a = 0.8333333333b Simplifying a = 0.8333333333b
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