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Simplifying a(n) = 12 + (n + -1)(10) Multiply a * n an = 12 + (n + -1)(10) Reorder the terms: an = 12 + (-1 + n)(10) Reorder the terms for easier multiplication: an = 12 + 10(-1 + n) an = 12 + (-1 * 10 + n * 10) an = 12 + (-10 + 10n) Combine like terms: 12 + -10 = 2 an = 2 + 10n Solving an = 2 + 10n Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by 'n'. a = 2n-1 + 10 Simplifying a = 2n-1 + 10 Reorder the terms: a = 10 + 2n-1
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