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Simplifying 7a + 5 = 5a + 12 Reorder the terms: 5 + 7a = 5a + 12 Reorder the terms: 5 + 7a = 12 + 5a Solving 5 + 7a = 12 + 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. 5 + 7a + -5a = 12 + 5a + -5a Combine like terms: 7a + -5a = 2a 5 + 2a = 12 + 5a + -5a Combine like terms: 5a + -5a = 0 5 + 2a = 12 + 0 5 + 2a = 12 Add '-5' to each side of the equation. 5 + -5 + 2a = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = 12 + -5 2a = 12 + -5 Combine like terms: 12 + -5 = 7 2a = 7 Divide each side by '2'. a = 3.5 Simplifying a = 3.5
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