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Simplifying 0.2b + 0.6(a + -1.2b) = 12 0.2b + (a * 0.6 + -1.2b * 0.6) = 12 0.2b + (0.6a + -0.72b) = 12 Reorder the terms: 0.6a + 0.2b + -0.72b = 12 Combine like terms: 0.2b + -0.72b = -0.52b 0.6a + -0.52b = 12 Solving 0.6a + -0.52b = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.52b' to each side of the equation. 0.6a + -0.52b + 0.52b = 12 + 0.52b Combine like terms: -0.52b + 0.52b = 0.00 0.6a + 0.00 = 12 + 0.52b 0.6a = 12 + 0.52b Divide each side by '0.6'. a = 20 + 0.8666666667b Simplifying a = 20 + 0.8666666667b
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