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Simplifying 3a + 1 = a + 7 Reorder the terms: 1 + 3a = a + 7 Reorder the terms: 1 + 3a = 7 + a Solving 1 + 3a = 7 + 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 = 7 + a + -1a Combine like terms: 3a + -1a = 2a 1 + 2a = 7 + a + -1a Combine like terms: a + -1a = 0 1 + 2a = 7 + 0 1 + 2a = 7 Add '-1' to each side of the equation. 1 + -1 + 2a = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = 7 + -1 2a = 7 + -1 Combine like terms: 7 + -1 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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