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Simplifying (a + -1b) + (3a + 2b) = 0 Remove parenthesis around (a + -1b) a + -1b + (3a + 2b) = 0 Remove parenthesis around (3a + 2b) a + -1b + 3a + 2b = 0 Reorder the terms: a + 3a + -1b + 2b = 0 Combine like terms: a + 3a = 4a 4a + -1b + 2b = 0 Combine like terms: -1b + 2b = 1b 4a + 1b = 0 Solving 4a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 4a + 1b + -1b = 0 + -1b Combine like terms: 1b + -1b = 0 4a + 0 = 0 + -1b 4a = 0 + -1b Remove the zero: 4a = -1b Divide each side by '4'. a = -0.25b Simplifying a = -0.25b
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