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Simplifying 2(5a + 9) + 2(5a + 9) = 116 Reorder the terms: 2(9 + 5a) + 2(5a + 9) = 116 (9 * 2 + 5a * 2) + 2(5a + 9) = 116 (18 + 10a) + 2(5a + 9) = 116 Reorder the terms: 18 + 10a + 2(9 + 5a) = 116 18 + 10a + (9 * 2 + 5a * 2) = 116 18 + 10a + (18 + 10a) = 116 Reorder the terms: 18 + 18 + 10a + 10a = 116 Combine like terms: 18 + 18 = 36 36 + 10a + 10a = 116 Combine like terms: 10a + 10a = 20a 36 + 20a = 116 Solving 36 + 20a = 116 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 20a = 116 + -36 Combine like terms: 36 + -36 = 0 0 + 20a = 116 + -36 20a = 116 + -36 Combine like terms: 116 + -36 = 80 20a = 80 Divide each side by '20'. a = 4 Simplifying a = 4
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