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Simplifying 12a + 8 = 7a + 43 Reorder the terms: 8 + 12a = 7a + 43 Reorder the terms: 8 + 12a = 43 + 7a Solving 8 + 12a = 43 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 8 + 12a + -7a = 43 + 7a + -7a Combine like terms: 12a + -7a = 5a 8 + 5a = 43 + 7a + -7a Combine like terms: 7a + -7a = 0 8 + 5a = 43 + 0 8 + 5a = 43 Add '-8' to each side of the equation. 8 + -8 + 5a = 43 + -8 Combine like terms: 8 + -8 = 0 0 + 5a = 43 + -8 5a = 43 + -8 Combine like terms: 43 + -8 = 35 5a = 35 Divide each side by '5'. a = 7 Simplifying a = 7
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