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Simplifying 11a + 1 = 5a + 43 Reorder the terms: 1 + 11a = 5a + 43 Reorder the terms: 1 + 11a = 43 + 5a Solving 1 + 11a = 43 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 1 + 11a + -5a = 43 + 5a + -5a Combine like terms: 11a + -5a = 6a 1 + 6a = 43 + 5a + -5a Combine like terms: 5a + -5a = 0 1 + 6a = 43 + 0 1 + 6a = 43 Add '-1' to each side of the equation. 1 + -1 + 6a = 43 + -1 Combine like terms: 1 + -1 = 0 0 + 6a = 43 + -1 6a = 43 + -1 Combine like terms: 43 + -1 = 42 6a = 42 Divide each side by '6'. a = 7 Simplifying a = 7
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