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Simplifying 7a + 9 = 3a + 49 Reorder the terms: 9 + 7a = 3a + 49 Reorder the terms: 9 + 7a = 49 + 3a Solving 9 + 7a = 49 + 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. 9 + 7a + -3a = 49 + 3a + -3a Combine like terms: 7a + -3a = 4a 9 + 4a = 49 + 3a + -3a Combine like terms: 3a + -3a = 0 9 + 4a = 49 + 0 9 + 4a = 49 Add '-9' to each side of the equation. 9 + -9 + 4a = 49 + -9 Combine like terms: 9 + -9 = 0 0 + 4a = 49 + -9 4a = 49 + -9 Combine like terms: 49 + -9 = 40 4a = 40 Divide each side by '4'. a = 10 Simplifying a = 10
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