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Simplifying 4a + -8 + 3a = 5a + 9 + -4a Reorder the terms: -8 + 4a + 3a = 5a + 9 + -4a Combine like terms: 4a + 3a = 7a -8 + 7a = 5a + 9 + -4a Reorder the terms: -8 + 7a = 9 + 5a + -4a Combine like terms: 5a + -4a = 1a -8 + 7a = 9 + 1a Solving -8 + 7a = 9 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -8 + 7a + -1a = 9 + 1a + -1a Combine like terms: 7a + -1a = 6a -8 + 6a = 9 + 1a + -1a Combine like terms: 1a + -1a = 0 -8 + 6a = 9 + 0 -8 + 6a = 9 Add '8' to each side of the equation. -8 + 8 + 6a = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 6a = 9 + 8 6a = 9 + 8 Combine like terms: 9 + 8 = 17 6a = 17 Divide each side by '6'. a = 2.833333333 Simplifying a = 2.833333333
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