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Simplifying -4a + 14 + 9a = 5a + 2 + -1a Reorder the terms: 14 + -4a + 9a = 5a + 2 + -1a Combine like terms: -4a + 9a = 5a 14 + 5a = 5a + 2 + -1a Reorder the terms: 14 + 5a = 2 + 5a + -1a Combine like terms: 5a + -1a = 4a 14 + 5a = 2 + 4a Solving 14 + 5a = 2 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 14 + 5a + -4a = 2 + 4a + -4a Combine like terms: 5a + -4a = 1a 14 + 1a = 2 + 4a + -4a Combine like terms: 4a + -4a = 0 14 + 1a = 2 + 0 14 + 1a = 2 Add '-14' to each side of the equation. 14 + -14 + 1a = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 1a = 2 + -14 1a = 2 + -14 Combine like terms: 2 + -14 = -12 1a = -12 Divide each side by '1'. a = -12 Simplifying a = -12
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