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Simplifying 11a + 5 = 3a + 45 Reorder the terms: 5 + 11a = 3a + 45 Reorder the terms: 5 + 11a = 45 + 3a Solving 5 + 11a = 45 + 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. 5 + 11a + -3a = 45 + 3a + -3a Combine like terms: 11a + -3a = 8a 5 + 8a = 45 + 3a + -3a Combine like terms: 3a + -3a = 0 5 + 8a = 45 + 0 5 + 8a = 45 Add '-5' to each side of the equation. 5 + -5 + 8a = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 8a = 45 + -5 8a = 45 + -5 Combine like terms: 45 + -5 = 40 8a = 40 Divide each side by '8'. a = 5 Simplifying a = 5
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