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Simplifying 5a + 2 = -1a + 14 Reorder the terms: 2 + 5a = -1a + 14 Reorder the terms: 2 + 5a = 14 + -1a Solving 2 + 5a = 14 + -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. 2 + 5a + a = 14 + -1a + a Combine like terms: 5a + a = 6a 2 + 6a = 14 + -1a + a Combine like terms: -1a + a = 0 2 + 6a = 14 + 0 2 + 6a = 14 Add '-2' to each side of the equation. 2 + -2 + 6a = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 6a = 14 + -2 6a = 14 + -2 Combine like terms: 14 + -2 = 12 6a = 12 Divide each side by '6'. a = 2 Simplifying a = 2
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