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Simplifying 8a + 12 = 3a + 57 Reorder the terms: 12 + 8a = 3a + 57 Reorder the terms: 12 + 8a = 57 + 3a Solving 12 + 8a = 57 + 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. 12 + 8a + -3a = 57 + 3a + -3a Combine like terms: 8a + -3a = 5a 12 + 5a = 57 + 3a + -3a Combine like terms: 3a + -3a = 0 12 + 5a = 57 + 0 12 + 5a = 57 Add '-12' to each side of the equation. 12 + -12 + 5a = 57 + -12 Combine like terms: 12 + -12 = 0 0 + 5a = 57 + -12 5a = 57 + -12 Combine like terms: 57 + -12 = 45 5a = 45 Divide each side by '5'. a = 9 Simplifying a = 9
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