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Simplifying 5 + 4a = 9 + -3a Solving 5 + 4a = 9 + -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. 5 + 4a + 3a = 9 + -3a + 3a Combine like terms: 4a + 3a = 7a 5 + 7a = 9 + -3a + 3a Combine like terms: -3a + 3a = 0 5 + 7a = 9 + 0 5 + 7a = 9 Add '-5' to each side of the equation. 5 + -5 + 7a = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 7a = 9 + -5 7a = 9 + -5 Combine like terms: 9 + -5 = 4 7a = 4 Divide each side by '7'. a = 0.5714285714 Simplifying a = 0.5714285714
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