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Simplifying (8a + 5) = (5a + 47) Reorder the terms: (5 + 8a) = (5a + 47) Remove parenthesis around (5 + 8a) 5 + 8a = (5a + 47) Reorder the terms: 5 + 8a = (47 + 5a) Remove parenthesis around (47 + 5a) 5 + 8a = 47 + 5a Solving 5 + 8a = 47 + 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. 5 + 8a + -5a = 47 + 5a + -5a Combine like terms: 8a + -5a = 3a 5 + 3a = 47 + 5a + -5a Combine like terms: 5a + -5a = 0 5 + 3a = 47 + 0 5 + 3a = 47 Add '-5' to each side of the equation. 5 + -5 + 3a = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = 47 + -5 3a = 47 + -5 Combine like terms: 47 + -5 = 42 3a = 42 Divide each side by '3'. a = 14 Simplifying a = 14
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