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Simplifying 5a + 14 = 2 + -1a Reorder the terms: 14 + 5a = 2 + -1a Solving 14 + 5a = 2 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 14 + 5a + a = 2 + -1a + a Combine like terms: 5a + a = 6a 14 + 6a = 2 + -1a + a Combine like terms: -1a + a = 0 14 + 6a = 2 + 0 14 + 6a = 2 Add '-14' to each side of the equation. 14 + -14 + 6a = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 6a = 2 + -14 6a = 2 + -14 Combine like terms: 2 + -14 = -12 6a = -12 Divide each side by '6'. a = -2 Simplifying a = -2
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