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Simplifying 5 + 14a = 9a + -5 Reorder the terms: 5 + 14a = -5 + 9a Solving 5 + 14a = -5 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 5 + 14a + -9a = -5 + 9a + -9a Combine like terms: 14a + -9a = 5a 5 + 5a = -5 + 9a + -9a Combine like terms: 9a + -9a = 0 5 + 5a = -5 + 0 5 + 5a = -5 Add '-5' to each side of the equation. 5 + -5 + 5a = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 5a = -5 + -5 5a = -5 + -5 Combine like terms: -5 + -5 = -10 5a = -10 Divide each side by '5'. a = -2 Simplifying a = -2
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