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Simplifying a(n) = 43 + (n + -1)(7) Multiply a * n an = 43 + (n + -1)(7) Reorder the terms: an = 43 + (-1 + n)(7) Reorder the terms for easier multiplication: an = 43 + 7(-1 + n) an = 43 + (-1 * 7 + n * 7) an = 43 + (-7 + 7n) Combine like terms: 43 + -7 = 36 an = 36 + 7n Solving an = 36 + 7n Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by 'n'. a = 36n-1 + 7 Simplifying a = 36n-1 + 7 Reorder the terms: a = 7 + 36n-1
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