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