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