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Simplifying (5a + -39) = (3a + 27) Reorder the terms: (-39 + 5a) = (3a + 27) Remove parenthesis around (-39 + 5a) -39 + 5a = (3a + 27) Reorder the terms: -39 + 5a = (27 + 3a) Remove parenthesis around (27 + 3a) -39 + 5a = 27 + 3a Solving -39 + 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. -39 + 5a + -3a = 27 + 3a + -3a Combine like terms: 5a + -3a = 2a -39 + 2a = 27 + 3a + -3a Combine like terms: 3a + -3a = 0 -39 + 2a = 27 + 0 -39 + 2a = 27 Add '39' to each side of the equation. -39 + 39 + 2a = 27 + 39 Combine like terms: -39 + 39 = 0 0 + 2a = 27 + 39 2a = 27 + 39 Combine like terms: 27 + 39 = 66 2a = 66 Divide each side by '2'. a = 33 Simplifying a = 33
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