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Simplifying (4a + 3b) + (2a + -1b) = 0 Remove parenthesis around (4a + 3b) 4a + 3b + (2a + -1b) = 0 Remove parenthesis around (2a + -1b) 4a + 3b + 2a + -1b = 0 Reorder the terms: 4a + 2a + 3b + -1b = 0 Combine like terms: 4a + 2a = 6a 6a + 3b + -1b = 0 Combine like terms: 3b + -1b = 2b 6a + 2b = 0 Solving 6a + 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. 6a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 6a + 0 = 0 + -2b 6a = 0 + -2b Remove the zero: 6a = -2b Divide each side by '6'. a = -0.3333333333b Simplifying a = -0.3333333333b
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