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Simplifying 5a + 19 = a + 31 Reorder the terms: 19 + 5a = a + 31 Reorder the terms: 19 + 5a = 31 + a Solving 19 + 5a = 31 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 19 + 5a + -1a = 31 + a + -1a Combine like terms: 5a + -1a = 4a 19 + 4a = 31 + a + -1a Combine like terms: a + -1a = 0 19 + 4a = 31 + 0 19 + 4a = 31 Add '-19' to each side of the equation. 19 + -19 + 4a = 31 + -19 Combine like terms: 19 + -19 = 0 0 + 4a = 31 + -19 4a = 31 + -19 Combine like terms: 31 + -19 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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