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Simplifying 3a + 1 = 19 + -5a Reorder the terms: 1 + 3a = 19 + -5a Solving 1 + 3a = 19 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 1 + 3a + 5a = 19 + -5a + 5a Combine like terms: 3a + 5a = 8a 1 + 8a = 19 + -5a + 5a Combine like terms: -5a + 5a = 0 1 + 8a = 19 + 0 1 + 8a = 19 Add '-1' to each side of the equation. 1 + -1 + 8a = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 8a = 19 + -1 8a = 19 + -1 Combine like terms: 19 + -1 = 18 8a = 18 Divide each side by '8'. a = 2.25 Simplifying a = 2.25
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