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Simplifying 6(3a + 2b) = 0 (3a * 6 + 2b * 6) = 0 (18a + 12b) = 0 Solving 18a + 12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 18a + 12b + -12b = 0 + -12b Combine like terms: 12b + -12b = 0 18a + 0 = 0 + -12b 18a = 0 + -12b Remove the zero: 18a = -12b Divide each side by '18'. a = -0.6666666667b Simplifying a = -0.6666666667b
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