2a+(n-1)d-2a+(n-1)d=n^2p-m^2p

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Solution for 2a+(n-1)d-2a+(n-1)d=n^2p-m^2p equation:


Simplifying
2a + (n + -1) * d + -2a + (n + -1) * d = n2p + -1m2p

Reorder the terms:
2a + (-1 + n) * d + -2a + (n + -1) * d = n2p + -1m2p

Reorder the terms for easier multiplication:
2a + d(-1 + n) + -2a + (n + -1) * d = n2p + -1m2p
2a + (-1 * d + n * d) + -2a + (n + -1) * d = n2p + -1m2p
2a + (-1d + dn) + -2a + (n + -1) * d = n2p + -1m2p

Reorder the terms:
2a + -1d + dn + -2a + (-1 + n) * d = n2p + -1m2p

Reorder the terms for easier multiplication:
2a + -1d + dn + -2a + d(-1 + n) = n2p + -1m2p
2a + -1d + dn + -2a + (-1 * d + n * d) = n2p + -1m2p
2a + -1d + dn + -2a + (-1d + dn) = n2p + -1m2p

Reorder the terms:
2a + -2a + -1d + -1d + dn + dn = n2p + -1m2p

Combine like terms: 2a + -2a = 0
0 + -1d + -1d + dn + dn = n2p + -1m2p
-1d + -1d + dn + dn = n2p + -1m2p

Combine like terms: -1d + -1d = -2d
-2d + dn + dn = n2p + -1m2p

Combine like terms: dn + dn = 2dn
-2d + 2dn = n2p + -1m2p

Reorder the terms:
-2d + 2dn = -1m2p + n2p

Solving
-2d + 2dn = -1m2p + n2p

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Reorder the terms:
-2d + 2dn + m2p + -1n2p = -1m2p + m2p + n2p + -1n2p

Combine like terms: -1m2p + m2p = 0
-2d + 2dn + m2p + -1n2p = 0 + n2p + -1n2p
-2d + 2dn + m2p + -1n2p = n2p + -1n2p

Combine like terms: n2p + -1n2p = 0
-2d + 2dn + m2p + -1n2p = 0

The solution to this equation could not be determined.

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