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Simplifying An = a + (n + -1)(d) Reorder the terms: nA = a + (-1 + n)(d) Reorder the terms for easier multiplication: nA = a + d(-1 + n) nA = a + (-1 * d + n * d) nA = a + (-1d + dn) Solving nA = a + -1d + dn Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1dn' to each side of the equation. -1dn + nA = a + -1d + dn + -1dn Combine like terms: dn + -1dn = 0 -1dn + nA = a + -1d + 0 -1dn + nA = a + -1d Reorder the terms: -1a + d + -1dn + nA = a + -1d + -1a + d Reorder the terms: -1a + d + -1dn + nA = a + -1a + -1d + d Combine like terms: a + -1a = 0 -1a + d + -1dn + nA = 0 + -1d + d -1a + d + -1dn + nA = -1d + d Combine like terms: -1d + d = 0 -1a + d + -1dn + nA = 0 The solution to this equation could not be determined.
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