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Simplifying 5 + 9a = 7a + 101 Reorder the terms: 5 + 9a = 101 + 7a Solving 5 + 9a = 101 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 5 + 9a + -7a = 101 + 7a + -7a Combine like terms: 9a + -7a = 2a 5 + 2a = 101 + 7a + -7a Combine like terms: 7a + -7a = 0 5 + 2a = 101 + 0 5 + 2a = 101 Add '-5' to each side of the equation. 5 + -5 + 2a = 101 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = 101 + -5 2a = 101 + -5 Combine like terms: 101 + -5 = 96 2a = 96 Divide each side by '2'. a = 48 Simplifying a = 48
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