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Simplifying 6a + -11 + 3a = 9 + 2a Reorder the terms: -11 + 6a + 3a = 9 + 2a Combine like terms: 6a + 3a = 9a -11 + 9a = 9 + 2a Solving -11 + 9a = 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. -11 + 9a + -2a = 9 + 2a + -2a Combine like terms: 9a + -2a = 7a -11 + 7a = 9 + 2a + -2a Combine like terms: 2a + -2a = 0 -11 + 7a = 9 + 0 -11 + 7a = 9 Add '11' to each side of the equation. -11 + 11 + 7a = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 7a = 9 + 11 7a = 9 + 11 Combine like terms: 9 + 11 = 20 7a = 20 Divide each side by '7'. a = 2.857142857 Simplifying a = 2.857142857
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