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Simplifying 5a + 9 = -43 + -8a Reorder the terms: 9 + 5a = -43 + -8a Solving 9 + 5a = -43 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 9 + 5a + 8a = -43 + -8a + 8a Combine like terms: 5a + 8a = 13a 9 + 13a = -43 + -8a + 8a Combine like terms: -8a + 8a = 0 9 + 13a = -43 + 0 9 + 13a = -43 Add '-9' to each side of the equation. 9 + -9 + 13a = -43 + -9 Combine like terms: 9 + -9 = 0 0 + 13a = -43 + -9 13a = -43 + -9 Combine like terms: -43 + -9 = -52 13a = -52 Divide each side by '13'. a = -4 Simplifying a = -4
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