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Simplifying 5a + 3 = 4a + 12 Reorder the terms: 3 + 5a = 4a + 12 Reorder the terms: 3 + 5a = 12 + 4a Solving 3 + 5a = 12 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 3 + 5a + -4a = 12 + 4a + -4a Combine like terms: 5a + -4a = 1a 3 + 1a = 12 + 4a + -4a Combine like terms: 4a + -4a = 0 3 + 1a = 12 + 0 3 + 1a = 12 Add '-3' to each side of the equation. 3 + -3 + 1a = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1a = 12 + -3 1a = 12 + -3 Combine like terms: 12 + -3 = 9 1a = 9 Divide each side by '1'. a = 9 Simplifying a = 9
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