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Simplifying 5a + 15 + -4 = 3a + 27 Reorder the terms: 15 + -4 + 5a = 3a + 27 Combine like terms: 15 + -4 = 11 11 + 5a = 3a + 27 Reorder the terms: 11 + 5a = 27 + 3a Solving 11 + 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. 11 + 5a + -3a = 27 + 3a + -3a Combine like terms: 5a + -3a = 2a 11 + 2a = 27 + 3a + -3a Combine like terms: 3a + -3a = 0 11 + 2a = 27 + 0 11 + 2a = 27 Add '-11' to each side of the equation. 11 + -11 + 2a = 27 + -11 Combine like terms: 11 + -11 = 0 0 + 2a = 27 + -11 2a = 27 + -11 Combine like terms: 27 + -11 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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