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Simplifying -3(a + 3b) + 2(2b + -1a) = 0 (a * -3 + 3b * -3) + 2(2b + -1a) = 0 (-3a + -9b) + 2(2b + -1a) = 0 Reorder the terms: -3a + -9b + 2(-1a + 2b) = 0 -3a + -9b + (-1a * 2 + 2b * 2) = 0 -3a + -9b + (-2a + 4b) = 0 Reorder the terms: -3a + -2a + -9b + 4b = 0 Combine like terms: -3a + -2a = -5a -5a + -9b + 4b = 0 Combine like terms: -9b + 4b = -5b -5a + -5b = 0 Solving -5a + -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. -5a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 -5a + 0 = 0 + 5b -5a = 0 + 5b Remove the zero: -5a = 5b Divide each side by '-5'. a = -1b Simplifying a = -1b
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