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Simplifying 20(2a + 3) = 8 + 16a Reorder the terms: 20(3 + 2a) = 8 + 16a (3 * 20 + 2a * 20) = 8 + 16a (60 + 40a) = 8 + 16a Solving 60 + 40a = 8 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 60 + 40a + -16a = 8 + 16a + -16a Combine like terms: 40a + -16a = 24a 60 + 24a = 8 + 16a + -16a Combine like terms: 16a + -16a = 0 60 + 24a = 8 + 0 60 + 24a = 8 Add '-60' to each side of the equation. 60 + -60 + 24a = 8 + -60 Combine like terms: 60 + -60 = 0 0 + 24a = 8 + -60 24a = 8 + -60 Combine like terms: 8 + -60 = -52 24a = -52 Divide each side by '24'. a = -2.166666667 Simplifying a = -2.166666667
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