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Simplifying 12a + 23 = 2a + 53 Reorder the terms: 23 + 12a = 2a + 53 Reorder the terms: 23 + 12a = 53 + 2a Solving 23 + 12a = 53 + 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. 23 + 12a + -2a = 53 + 2a + -2a Combine like terms: 12a + -2a = 10a 23 + 10a = 53 + 2a + -2a Combine like terms: 2a + -2a = 0 23 + 10a = 53 + 0 23 + 10a = 53 Add '-23' to each side of the equation. 23 + -23 + 10a = 53 + -23 Combine like terms: 23 + -23 = 0 0 + 10a = 53 + -23 10a = 53 + -23 Combine like terms: 53 + -23 = 30 10a = 30 Divide each side by '10'. a = 3 Simplifying a = 3
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