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