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Simplifying 5a + 9 = -2a + 11 Reorder the terms: 9 + 5a = -2a + 11 Reorder the terms: 9 + 5a = 11 + -2a Solving 9 + 5a = 11 + -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. 9 + 5a + 2a = 11 + -2a + 2a Combine like terms: 5a + 2a = 7a 9 + 7a = 11 + -2a + 2a Combine like terms: -2a + 2a = 0 9 + 7a = 11 + 0 9 + 7a = 11 Add '-9' to each side of the equation. 9 + -9 + 7a = 11 + -9 Combine like terms: 9 + -9 = 0 0 + 7a = 11 + -9 7a = 11 + -9 Combine like terms: 11 + -9 = 2 7a = 2 Divide each side by '7'. a = 0.2857142857 Simplifying a = 0.2857142857
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