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Simplifying 8a + 11 = 3a + 41 Reorder the terms: 11 + 8a = 3a + 41 Reorder the terms: 11 + 8a = 41 + 3a Solving 11 + 8a = 41 + 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 + 8a + -3a = 41 + 3a + -3a Combine like terms: 8a + -3a = 5a 11 + 5a = 41 + 3a + -3a Combine like terms: 3a + -3a = 0 11 + 5a = 41 + 0 11 + 5a = 41 Add '-11' to each side of the equation. 11 + -11 + 5a = 41 + -11 Combine like terms: 11 + -11 = 0 0 + 5a = 41 + -11 5a = 41 + -11 Combine like terms: 41 + -11 = 30 5a = 30 Divide each side by '5'. a = 6 Simplifying a = 6
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