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Simplifying 4a + 1 = 3a + 8 Reorder the terms: 1 + 4a = 3a + 8 Reorder the terms: 1 + 4a = 8 + 3a Solving 1 + 4a = 8 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 1 + 4a + -3a = 8 + 3a + -3a Combine like terms: 4a + -3a = 1a 1 + 1a = 8 + 3a + -3a Combine like terms: 3a + -3a = 0 1 + 1a = 8 + 0 1 + 1a = 8 Add '-1' to each side of the equation. 1 + -1 + 1a = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1a = 8 + -1 1a = 8 + -1 Combine like terms: 8 + -1 = 7 1a = 7 Divide each side by '1'. a = 7 Simplifying a = 7
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