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Simplifying 4a + 1 = a + 7 Reorder the terms: 1 + 4a = a + 7 Reorder the terms: 1 + 4a = 7 + a Solving 1 + 4a = 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 + 4a + -1a = 7 + a + -1a Combine like terms: 4a + -1a = 3a 1 + 3a = 7 + a + -1a Combine like terms: a + -1a = 0 1 + 3a = 7 + 0 1 + 3a = 7 Add '-1' to each side of the equation. 1 + -1 + 3a = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 3a = 7 + -1 3a = 7 + -1 Combine like terms: 7 + -1 = 6 3a = 6 Divide each side by '3'. a = 2 Simplifying a = 2
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