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Simplifying 5 + 4a = 9 + -2a Solving 5 + 4a = 9 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 5 + 4a + 2a = 9 + -2a + 2a Combine like terms: 4a + 2a = 6a 5 + 6a = 9 + -2a + 2a Combine like terms: -2a + 2a = 0 5 + 6a = 9 + 0 5 + 6a = 9 Add '-5' to each side of the equation. 5 + -5 + 6a = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 6a = 9 + -5 6a = 9 + -5 Combine like terms: 9 + -5 = 4 6a = 4 Divide each side by '6'. a = 0.6666666667 Simplifying a = 0.6666666667
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