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Simplifying 12a + -23 = 5a + 54 Reorder the terms: -23 + 12a = 5a + 54 Reorder the terms: -23 + 12a = 54 + 5a Solving -23 + 12a = 54 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -23 + 12a + -5a = 54 + 5a + -5a Combine like terms: 12a + -5a = 7a -23 + 7a = 54 + 5a + -5a Combine like terms: 5a + -5a = 0 -23 + 7a = 54 + 0 -23 + 7a = 54 Add '23' to each side of the equation. -23 + 23 + 7a = 54 + 23 Combine like terms: -23 + 23 = 0 0 + 7a = 54 + 23 7a = 54 + 23 Combine like terms: 54 + 23 = 77 7a = 77 Divide each side by '7'. a = 11 Simplifying a = 11
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