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Simplifying 9(12a + 8) = 9(11a + 5) Reorder the terms: 9(8 + 12a) = 9(11a + 5) (8 * 9 + 12a * 9) = 9(11a + 5) (72 + 108a) = 9(11a + 5) Reorder the terms: 72 + 108a = 9(5 + 11a) 72 + 108a = (5 * 9 + 11a * 9) 72 + 108a = (45 + 99a) Solving 72 + 108a = 45 + 99a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-99a' to each side of the equation. 72 + 108a + -99a = 45 + 99a + -99a Combine like terms: 108a + -99a = 9a 72 + 9a = 45 + 99a + -99a Combine like terms: 99a + -99a = 0 72 + 9a = 45 + 0 72 + 9a = 45 Add '-72' to each side of the equation. 72 + -72 + 9a = 45 + -72 Combine like terms: 72 + -72 = 0 0 + 9a = 45 + -72 9a = 45 + -72 Combine like terms: 45 + -72 = -27 9a = -27 Divide each side by '9'. a = -3 Simplifying a = -3
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