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Simplifying (3a + -5b)(6) = 0 Reorder the terms for easier multiplication: 6(3a + -5b) = 0 (3a * 6 + -5b * 6) = 0 (18a + -30b) = 0 Solving 18a + -30b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30b' to each side of the equation. 18a + -30b + 30b = 0 + 30b Combine like terms: -30b + 30b = 0 18a + 0 = 0 + 30b 18a = 0 + 30b Remove the zero: 18a = 30b Divide each side by '18'. a = 1.666666667b Simplifying a = 1.666666667b
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