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Simplifying 5a + 13 = 4a + 31 Reorder the terms: 13 + 5a = 4a + 31 Reorder the terms: 13 + 5a = 31 + 4a Solving 13 + 5a = 31 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 13 + 5a + -4a = 31 + 4a + -4a Combine like terms: 5a + -4a = 1a 13 + 1a = 31 + 4a + -4a Combine like terms: 4a + -4a = 0 13 + 1a = 31 + 0 13 + 1a = 31 Add '-13' to each side of the equation. 13 + -13 + 1a = 31 + -13 Combine like terms: 13 + -13 = 0 0 + 1a = 31 + -13 1a = 31 + -13 Combine like terms: 31 + -13 = 18 1a = 18 Divide each side by '1'. a = 18 Simplifying a = 18
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