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Simplifying 2(a + 8) + 3a + 11 = 45 Reorder the terms: 2(8 + a) + 3a + 11 = 45 (8 * 2 + a * 2) + 3a + 11 = 45 (16 + 2a) + 3a + 11 = 45 Reorder the terms: 16 + 11 + 2a + 3a = 45 Combine like terms: 16 + 11 = 27 27 + 2a + 3a = 45 Combine like terms: 2a + 3a = 5a 27 + 5a = 45 Solving 27 + 5a = 45 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 5a = 45 + -27 Combine like terms: 27 + -27 = 0 0 + 5a = 45 + -27 5a = 45 + -27 Combine like terms: 45 + -27 = 18 5a = 18 Divide each side by '5'. a = 3.6 Simplifying a = 3.6
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