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Simplifying (5a + 1) = (3a + 27) Reorder the terms: (1 + 5a) = (3a + 27) Remove parenthesis around (1 + 5a) 1 + 5a = (3a + 27) Reorder the terms: 1 + 5a = (27 + 3a) Remove parenthesis around (27 + 3a) 1 + 5a = 27 + 3a Solving 1 + 5a = 27 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 1 + 5a + -3a = 27 + 3a + -3a Combine like terms: 5a + -3a = 2a 1 + 2a = 27 + 3a + -3a Combine like terms: 3a + -3a = 0 1 + 2a = 27 + 0 1 + 2a = 27 Add '-1' to each side of the equation. 1 + -1 + 2a = 27 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = 27 + -1 2a = 27 + -1 Combine like terms: 27 + -1 = 26 2a = 26 Divide each side by '2'. a = 13 Simplifying a = 13
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