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Simplifying 2a + 3b + (4a + -5b) = 0 Remove parenthesis around (4a + -5b) 2a + 3b + 4a + -5b = 0 Reorder the terms: 2a + 4a + 3b + -5b = 0 Combine like terms: 2a + 4a = 6a 6a + 3b + -5b = 0 Combine like terms: 3b + -5b = -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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