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Simplifying 8a + -24 + 3n = 6a + 1 Reorder the terms: -24 + 8a + 3n = 6a + 1 Reorder the terms: -24 + 8a + 3n = 1 + 6a Solving -24 + 8a + 3n = 1 + 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. -24 + 8a + -6a + 3n = 1 + 6a + -6a Combine like terms: 8a + -6a = 2a -24 + 2a + 3n = 1 + 6a + -6a Combine like terms: 6a + -6a = 0 -24 + 2a + 3n = 1 + 0 -24 + 2a + 3n = 1 Add '24' to each side of the equation. -24 + 2a + 24 + 3n = 1 + 24 Reorder the terms: -24 + 24 + 2a + 3n = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 2a + 3n = 1 + 24 2a + 3n = 1 + 24 Combine like terms: 1 + 24 = 25 2a + 3n = 25 Add '-3n' to each side of the equation. 2a + 3n + -3n = 25 + -3n Combine like terms: 3n + -3n = 0 2a + 0 = 25 + -3n 2a = 25 + -3n Divide each side by '2'. a = 12.5 + -1.5n Simplifying a = 12.5 + -1.5n
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