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Simplifying 2(2a + 1) + a = a + 2a + 18 Reorder the terms: 2(1 + 2a) + a = a + 2a + 18 (1 * 2 + 2a * 2) + a = a + 2a + 18 (2 + 4a) + a = a + 2a + 18 Combine like terms: 4a + a = 5a 2 + 5a = a + 2a + 18 Reorder the terms: 2 + 5a = 18 + a + 2a Combine like terms: a + 2a = 3a 2 + 5a = 18 + 3a Solving 2 + 5a = 18 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 2 + 5a + -3a = 18 + 3a + -3a Combine like terms: 5a + -3a = 2a 2 + 2a = 18 + 3a + -3a Combine like terms: 3a + -3a = 0 2 + 2a = 18 + 0 2 + 2a = 18 Add '-2' to each side of the equation. 2 + -2 + 2a = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 2a = 18 + -2 2a = 18 + -2 Combine like terms: 18 + -2 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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