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Simplifying 3(4a + -2b) = 0 (4a * 3 + -2b * 3) = 0 (12a + -6b) = 0 Solving 12a + -6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. 12a + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 12a + 0 = 0 + 6b 12a = 0 + 6b Remove the zero: 12a = 6b Divide each side by '12'. a = 0.5b Simplifying a = 0.5b
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