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Simplifying 4a + 7 + 8a = 9 + 5a Reorder the terms: 7 + 4a + 8a = 9 + 5a Combine like terms: 4a + 8a = 12a 7 + 12a = 9 + 5a Solving 7 + 12a = 9 + 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. 7 + 12a + -5a = 9 + 5a + -5a Combine like terms: 12a + -5a = 7a 7 + 7a = 9 + 5a + -5a Combine like terms: 5a + -5a = 0 7 + 7a = 9 + 0 7 + 7a = 9 Add '-7' to each side of the equation. 7 + -7 + 7a = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 7a = 9 + -7 7a = 9 + -7 Combine like terms: 9 + -7 = 2 7a = 2 Divide each side by '7'. a = 0.2857142857 Simplifying a = 0.2857142857
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