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