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Simplifying 10 + 8a + 1 = 5a + 14 Reorder the terms: 10 + 1 + 8a = 5a + 14 Combine like terms: 10 + 1 = 11 11 + 8a = 5a + 14 Reorder the terms: 11 + 8a = 14 + 5a Solving 11 + 8a = 14 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 11 + 8a + -5a = 14 + 5a + -5a Combine like terms: 8a + -5a = 3a 11 + 3a = 14 + 5a + -5a Combine like terms: 5a + -5a = 0 11 + 3a = 14 + 0 11 + 3a = 14 Add '-11' to each side of the equation. 11 + -11 + 3a = 14 + -11 Combine like terms: 11 + -11 = 0 0 + 3a = 14 + -11 3a = 14 + -11 Combine like terms: 14 + -11 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1
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