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Simplifying 8a + 23 = a + 107 Reorder the terms: 23 + 8a = a + 107 Reorder the terms: 23 + 8a = 107 + a Solving 23 + 8a = 107 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 23 + 8a + -1a = 107 + a + -1a Combine like terms: 8a + -1a = 7a 23 + 7a = 107 + a + -1a Combine like terms: a + -1a = 0 23 + 7a = 107 + 0 23 + 7a = 107 Add '-23' to each side of the equation. 23 + -23 + 7a = 107 + -23 Combine like terms: 23 + -23 = 0 0 + 7a = 107 + -23 7a = 107 + -23 Combine like terms: 107 + -23 = 84 7a = 84 Divide each side by '7'. a = 12 Simplifying a = 12
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