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Simplifying 9a + 3 + 4a = 51 + 5a Reorder the terms: 3 + 9a + 4a = 51 + 5a Combine like terms: 9a + 4a = 13a 3 + 13a = 51 + 5a Solving 3 + 13a = 51 + 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. 3 + 13a + -5a = 51 + 5a + -5a Combine like terms: 13a + -5a = 8a 3 + 8a = 51 + 5a + -5a Combine like terms: 5a + -5a = 0 3 + 8a = 51 + 0 3 + 8a = 51 Add '-3' to each side of the equation. 3 + -3 + 8a = 51 + -3 Combine like terms: 3 + -3 = 0 0 + 8a = 51 + -3 8a = 51 + -3 Combine like terms: 51 + -3 = 48 8a = 48 Divide each side by '8'. a = 6 Simplifying a = 6
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