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Simplifying 5a + 6 = 12 + 3a Reorder the terms: 6 + 5a = 12 + 3a Solving 6 + 5a = 12 + 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. 6 + 5a + -3a = 12 + 3a + -3a Combine like terms: 5a + -3a = 2a 6 + 2a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 6 + 2a = 12 + 0 6 + 2a = 12 Add '-6' to each side of the equation. 6 + -6 + 2a = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2a = 12 + -6 2a = 12 + -6 Combine like terms: 12 + -6 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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