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