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Simplifying (4a + -1b) + -1(a + -2b) + b = 0 Remove parenthesis around (4a + -1b) 4a + -1b + -1(a + -2b) + b = 0 4a + -1b + (a * -1 + -2b * -1) + b = 0 4a + -1b + (-1a + 2b) + b = 0 Reorder the terms: 4a + -1a + -1b + 2b + b = 0 Combine like terms: 4a + -1a = 3a 3a + -1b + 2b + b = 0 Combine like terms: -1b + 2b = 1b 3a + 1b + b = 0 Combine like terms: 1b + b = 2b 3a + 2b = 0 Solving 3a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 3a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 3a + 0 = 0 + -2b 3a = 0 + -2b Remove the zero: 3a = -2b Divide each side by '3'. a = -0.6666666667b Simplifying a = -0.6666666667b
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