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Simplifying 12a + 8 = 23 + -3a Reorder the terms: 8 + 12a = 23 + -3a Solving 8 + 12a = 23 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 8 + 12a + 3a = 23 + -3a + 3a Combine like terms: 12a + 3a = 15a 8 + 15a = 23 + -3a + 3a Combine like terms: -3a + 3a = 0 8 + 15a = 23 + 0 8 + 15a = 23 Add '-8' to each side of the equation. 8 + -8 + 15a = 23 + -8 Combine like terms: 8 + -8 = 0 0 + 15a = 23 + -8 15a = 23 + -8 Combine like terms: 23 + -8 = 15 15a = 15 Divide each side by '15'. a = 1 Simplifying a = 1
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