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Simplifying 8 + 5a = 14 + -1a Solving 8 + 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. 8 + 5a + a = 14 + -1a + a Combine like terms: 5a + a = 6a 8 + 6a = 14 + -1a + a Combine like terms: -1a + a = 0 8 + 6a = 14 + 0 8 + 6a = 14 Add '-8' to each side of the equation. 8 + -8 + 6a = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 6a = 14 + -8 6a = 14 + -8 Combine like terms: 14 + -8 = 6 6a = 6 Divide each side by '6'. a = 1 Simplifying a = 1
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