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Simplifying (a + -3b) * 2 = 0 Reorder the terms for easier multiplication: 2(a + -3b) = 0 (a * 2 + -3b * 2) = 0 (2a + -6b) = 0 Solving 2a + -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. 2a + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 2a + 0 = 0 + 6b 2a = 0 + 6b Remove the zero: 2a = 6b Divide each side by '2'. a = 3b Simplifying a = 3b
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