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Simplifying a + 2(a + 1) = 12 + 8 Reorder the terms: a + 2(1 + a) = 12 + 8 a + (1 * 2 + a * 2) = 12 + 8 a + (2 + 2a) = 12 + 8 Reorder the terms: 2 + a + 2a = 12 + 8 Combine like terms: a + 2a = 3a 2 + 3a = 12 + 8 Combine like terms: 12 + 8 = 20 2 + 3a = 20 Solving 2 + 3a = 20 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3a = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 3a = 20 + -2 3a = 20 + -2 Combine like terms: 20 + -2 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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