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Simplifying 4a + 43 = 49 + a Reorder the terms: 43 + 4a = 49 + a Solving 43 + 4a = 49 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 43 + 4a + -1a = 49 + a + -1a Combine like terms: 4a + -1a = 3a 43 + 3a = 49 + a + -1a Combine like terms: a + -1a = 0 43 + 3a = 49 + 0 43 + 3a = 49 Add '-43' to each side of the equation. 43 + -43 + 3a = 49 + -43 Combine like terms: 43 + -43 = 0 0 + 3a = 49 + -43 3a = 49 + -43 Combine like terms: 49 + -43 = 6 3a = 6 Divide each side by '3'. a = 2 Simplifying a = 2
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