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Simplifying 17 + 9a = 14a + 22 Reorder the terms: 17 + 9a = 22 + 14a Solving 17 + 9a = 22 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 17 + 9a + -14a = 22 + 14a + -14a Combine like terms: 9a + -14a = -5a 17 + -5a = 22 + 14a + -14a Combine like terms: 14a + -14a = 0 17 + -5a = 22 + 0 17 + -5a = 22 Add '-17' to each side of the equation. 17 + -17 + -5a = 22 + -17 Combine like terms: 17 + -17 = 0 0 + -5a = 22 + -17 -5a = 22 + -17 Combine like terms: 22 + -17 = 5 -5a = 5 Divide each side by '-5'. a = -1 Simplifying a = -1
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