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