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Simplifying 7a + 1 + 4a = 6a + 16 Reorder the terms: 1 + 7a + 4a = 6a + 16 Combine like terms: 7a + 4a = 11a 1 + 11a = 6a + 16 Reorder the terms: 1 + 11a = 16 + 6a Solving 1 + 11a = 16 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 1 + 11a + -6a = 16 + 6a + -6a Combine like terms: 11a + -6a = 5a 1 + 5a = 16 + 6a + -6a Combine like terms: 6a + -6a = 0 1 + 5a = 16 + 0 1 + 5a = 16 Add '-1' to each side of the equation. 1 + -1 + 5a = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 5a = 16 + -1 5a = 16 + -1 Combine like terms: 16 + -1 = 15 5a = 15 Divide each side by '5'. a = 3 Simplifying a = 3
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