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Simplifying 12a + 4 = 5a + 32 Reorder the terms: 4 + 12a = 5a + 32 Reorder the terms: 4 + 12a = 32 + 5a Solving 4 + 12a = 32 + 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. 4 + 12a + -5a = 32 + 5a + -5a Combine like terms: 12a + -5a = 7a 4 + 7a = 32 + 5a + -5a Combine like terms: 5a + -5a = 0 4 + 7a = 32 + 0 4 + 7a = 32 Add '-4' to each side of the equation. 4 + -4 + 7a = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 7a = 32 + -4 7a = 32 + -4 Combine like terms: 32 + -4 = 28 7a = 28 Divide each side by '7'. a = 4 Simplifying a = 4
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