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Simplifying 12a = 2(5a + 3) + 8 Reorder the terms: 12a = 2(3 + 5a) + 8 12a = (3 * 2 + 5a * 2) + 8 12a = (6 + 10a) + 8 Reorder the terms: 12a = 6 + 8 + 10a Combine like terms: 6 + 8 = 14 12a = 14 + 10a Solving 12a = 14 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 12a + -10a = 14 + 10a + -10a Combine like terms: 12a + -10a = 2a 2a = 14 + 10a + -10a Combine like terms: 10a + -10a = 0 2a = 14 + 0 2a = 14 Divide each side by '2'. a = 7 Simplifying a = 7
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