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Simplifying (3a + -2b) + -1(2a + 3b) = 0 Remove parenthesis around (3a + -2b) 3a + -2b + -1(2a + 3b) = 0 3a + -2b + (2a * -1 + 3b * -1) = 0 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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