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Simplifying (3a + 2b) + (3b + -2a) = 0 Remove parenthesis around (3a + 2b) 3a + 2b + (3b + -2a) = 0 Reorder the terms: 3a + 2b + (-2a + 3b) = 0 Remove parenthesis around (-2a + 3b) 3a + 2b + -2a + 3b = 0 Reorder the terms: 3a + -2a + 2b + 3b = 0 Combine like terms: 3a + -2a = 1a 1a + 2b + 3b = 0 Combine like terms: 2b + 3b = 5b 1a + 5b = 0 Solving 1a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 1a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 1a + 0 = 0 + -5b 1a = 0 + -5b Remove the zero: 1a = -5b Divide each side by '1'. a = -5b Simplifying a = -5b
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