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Simplifying -4a + 8 + 9a = 6a + -3a Reorder the terms: 8 + -4a + 9a = 6a + -3a Combine like terms: -4a + 9a = 5a 8 + 5a = 6a + -3a Combine like terms: 6a + -3a = 3a 8 + 5a = 3a Solving 8 + 5a = 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. 8 + 5a + -3a = 3a + -3a Combine like terms: 5a + -3a = 2a 8 + 2a = 3a + -3a Combine like terms: 3a + -3a = 0 8 + 2a = 0 Add '-8' to each side of the equation. 8 + -8 + 2a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = 0 + -8 2a = 0 + -8 Combine like terms: 0 + -8 = -8 2a = -8 Divide each side by '2'. a = -4 Simplifying a = -4
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