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Simplifying -31 + 5(6a + 9) = 60 + 12a Reorder the terms: -31 + 5(9 + 6a) = 60 + 12a -31 + (9 * 5 + 6a * 5) = 60 + 12a -31 + (45 + 30a) = 60 + 12a Combine like terms: -31 + 45 = 14 14 + 30a = 60 + 12a Solving 14 + 30a = 60 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 14 + 30a + -12a = 60 + 12a + -12a Combine like terms: 30a + -12a = 18a 14 + 18a = 60 + 12a + -12a Combine like terms: 12a + -12a = 0 14 + 18a = 60 + 0 14 + 18a = 60 Add '-14' to each side of the equation. 14 + -14 + 18a = 60 + -14 Combine like terms: 14 + -14 = 0 0 + 18a = 60 + -14 18a = 60 + -14 Combine like terms: 60 + -14 = 46 18a = 46 Divide each side by '18'. a = 2.555555556 Simplifying a = 2.555555556
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