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Simplifying a(n) = 12 + (n + -1) * 3 Multiply a * n an = 12 + (n + -1) * 3 Reorder the terms: an = 12 + (-1 + n) * 3 Reorder the terms for easier multiplication: an = 12 + 3(-1 + n) an = 12 + (-1 * 3 + n * 3) an = 12 + (-3 + 3n) Combine like terms: 12 + -3 = 9 an = 9 + 3n Solving an = 9 + 3n Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by 'n'. a = 9n-1 + 3 Simplifying a = 9n-1 + 3 Reorder the terms: a = 3 + 9n-1
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