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Simplifying 5a + 13 = 3a + 53 Reorder the terms: 13 + 5a = 3a + 53 Reorder the terms: 13 + 5a = 53 + 3a Solving 13 + 5a = 53 + 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. 13 + 5a + -3a = 53 + 3a + -3a Combine like terms: 5a + -3a = 2a 13 + 2a = 53 + 3a + -3a Combine like terms: 3a + -3a = 0 13 + 2a = 53 + 0 13 + 2a = 53 Add '-13' to each side of the equation. 13 + -13 + 2a = 53 + -13 Combine like terms: 13 + -13 = 0 0 + 2a = 53 + -13 2a = 53 + -13 Combine like terms: 53 + -13 = 40 2a = 40 Divide each side by '2'. a = 20 Simplifying a = 20
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