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Simplifying 12a = (-3(2(-4a + 1)) + -5) Reorder the terms: 12a = (-3(2(1 + -4a)) + -5) 12a = (-3((1 * 2 + -4a * 2)) + -5) 12a = (-3((2 + -8a)) + -5) 12a = ((2 * -3 + -8a * -3) + -5) 12a = ((-6 + 24a) + -5) Reorder the terms: 12a = (-6 + -5 + 24a) Combine like terms: -6 + -5 = -11 12a = (-11 + 24a) Remove parenthesis around (-11 + 24a) 12a = -11 + 24a Solving 12a = -11 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 12a + -24a = -11 + 24a + -24a Combine like terms: 12a + -24a = -12a -12a = -11 + 24a + -24a Combine like terms: 24a + -24a = 0 -12a = -11 + 0 -12a = -11 Divide each side by '-12'. a = 0.9166666667 Simplifying a = 0.9166666667
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