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Simplifying 5a + 7 = 3a + 13 Reorder the terms: 7 + 5a = 3a + 13 Reorder the terms: 7 + 5a = 13 + 3a Solving 7 + 5a = 13 + 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. 7 + 5a + -3a = 13 + 3a + -3a Combine like terms: 5a + -3a = 2a 7 + 2a = 13 + 3a + -3a Combine like terms: 3a + -3a = 0 7 + 2a = 13 + 0 7 + 2a = 13 Add '-7' to each side of the equation. 7 + -7 + 2a = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 2a = 13 + -7 2a = 13 + -7 Combine like terms: 13 + -7 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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