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Simplifying (3a + -2b) + (6b + -2a) = 0 Remove parenthesis around (3a + -2b) 3a + -2b + (6b + -2a) = 0 Reorder the terms: 3a + -2b + (-2a + 6b) = 0 Remove parenthesis around (-2a + 6b) 3a + -2b + -2a + 6b = 0 Reorder the terms: 3a + -2a + -2b + 6b = 0 Combine like terms: 3a + -2a = 1a 1a + -2b + 6b = 0 Combine like terms: -2b + 6b = 4b 1a + 4b = 0 Solving 1a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 1a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 1a + 0 = 0 + -4b 1a = 0 + -4b Remove the zero: 1a = -4b Divide each side by '1'. a = -4b Simplifying a = -4b
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