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Simplifying 3a + 2 = a + 12 Reorder the terms: 2 + 3a = a + 12 Reorder the terms: 2 + 3a = 12 + a Solving 2 + 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. 2 + 3a + -1a = 12 + a + -1a Combine like terms: 3a + -1a = 2a 2 + 2a = 12 + a + -1a Combine like terms: a + -1a = 0 2 + 2a = 12 + 0 2 + 2a = 12 Add '-2' to each side of the equation. 2 + -2 + 2a = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2a = 12 + -2 2a = 12 + -2 Combine like terms: 12 + -2 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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