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Simplifying 13a + 17 = 5a + 9 Reorder the terms: 17 + 13a = 5a + 9 Reorder the terms: 17 + 13a = 9 + 5a Solving 17 + 13a = 9 + 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. 17 + 13a + -5a = 9 + 5a + -5a Combine like terms: 13a + -5a = 8a 17 + 8a = 9 + 5a + -5a Combine like terms: 5a + -5a = 0 17 + 8a = 9 + 0 17 + 8a = 9 Add '-17' to each side of the equation. 17 + -17 + 8a = 9 + -17 Combine like terms: 17 + -17 = 0 0 + 8a = 9 + -17 8a = 9 + -17 Combine like terms: 9 + -17 = -8 8a = -8 Divide each side by '8'. a = -1 Simplifying a = -1
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