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