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Simplifying 3a + 1 = 19 + a Reorder the terms: 1 + 3a = 19 + a Solving 1 + 3a = 19 + 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. 1 + 3a + -1a = 19 + a + -1a Combine like terms: 3a + -1a = 2a 1 + 2a = 19 + a + -1a Combine like terms: a + -1a = 0 1 + 2a = 19 + 0 1 + 2a = 19 Add '-1' to each side of the equation. 1 + -1 + 2a = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = 19 + -1 2a = 19 + -1 Combine like terms: 19 + -1 = 18 2a = 18 Divide each side by '2'. a = 9 Simplifying a = 9
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