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Simplifying -3a + 8 + 6a = 9a + -4a Reorder the terms: 8 + -3a + 6a = 9a + -4a Combine like terms: -3a + 6a = 3a 8 + 3a = 9a + -4a Combine like terms: 9a + -4a = 5a 8 + 3a = 5a Solving 8 + 3a = 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 8 + 3a + -5a = 5a + -5a Combine like terms: 3a + -5a = -2a 8 + -2a = 5a + -5a Combine like terms: 5a + -5a = 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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