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Simplifying 3(2a + -3b) = 0 (2a * 3 + -3b * 3) = 0 (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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