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Simplifying an = 2(an + -1 + an + -2) Reorder the terms: an = 2(-1 + -2 + an + an) Combine like terms: -1 + -2 = -3 an = 2(-3 + an + an) Combine like terms: an + an = 2an an = 2(-3 + 2an) an = (-3 * 2 + 2an * 2) an = (-6 + 4an) Solving an = -6 + 4an Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4an' to each side of the equation. an + -4an = -6 + 4an + -4an Combine like terms: an + -4an = -3an -3an = -6 + 4an + -4an Combine like terms: 4an + -4an = 0 -3an = -6 + 0 -3an = -6 Divide each side by '-3n'. a = 2n-1 Simplifying a = 2n-1
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