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Simplifying -3(3a + -2b) + -3(-1a + -1b) = 0 (3a * -3 + -2b * -3) + -3(-1a + -1b) = 0 (-9a + 6b) + -3(-1a + -1b) = 0 -9a + 6b + (-1a * -3 + -1b * -3) = 0 -9a + 6b + (3a + 3b) = 0 Reorder the terms: -9a + 3a + 6b + 3b = 0 Combine like terms: -9a + 3a = -6a -6a + 6b + 3b = 0 Combine like terms: 6b + 3b = 9b -6a + 9b = 0 Solving -6a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. -6a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 -6a + 0 = 0 + -9b -6a = 0 + -9b Remove the zero: -6a = -9b Divide each side by '-6'. a = 1.5b Simplifying a = 1.5b
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