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Simplifying 12a + 8 = 5a + 15 Reorder the terms: 8 + 12a = 5a + 15 Reorder the terms: 8 + 12a = 15 + 5a Solving 8 + 12a = 15 + 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. 8 + 12a + -5a = 15 + 5a + -5a Combine like terms: 12a + -5a = 7a 8 + 7a = 15 + 5a + -5a Combine like terms: 5a + -5a = 0 8 + 7a = 15 + 0 8 + 7a = 15 Add '-8' to each side of the equation. 8 + -8 + 7a = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 7a = 15 + -8 7a = 15 + -8 Combine like terms: 15 + -8 = 7 7a = 7 Divide each side by '7'. a = 1 Simplifying a = 1
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