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Simplifying an = an + -1 + an + -2 Reorder the terms: an = -1 + -2 + an + an Combine like terms: -1 + -2 = -3 an = -3 + an + an Combine like terms: an + an = 2an an = -3 + 2an Solving an = -3 + 2an Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2an' to each side of the equation. an + -2an = -3 + 2an + -2an Combine like terms: an + -2an = -1an -1an = -3 + 2an + -2an Combine like terms: 2an + -2an = 0 -1an = -3 + 0 -1an = -3 Divide each side by '-1n'. a = 3n-1 Simplifying a = 3n-1
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