a+(n-1)d=143

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Solution for a+(n-1)d=143 equation:


Simplifying
a + (n + -1) * d = 143

Reorder the terms:
a + (-1 + n) * d = 143

Reorder the terms for easier multiplication:
a + d(-1 + n) = 143
a + (-1 * d + n * d) = 143
a + (-1d + dn) = 143

Solving
a + -1d + dn = 143

Solving for variable 'a'.

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

Add 'd' to each side of the equation.
a + -1d + d + dn = 143 + d

Combine like terms: -1d + d = 0
a + 0 + dn = 143 + d
a + dn = 143 + d

Add '-1dn' to each side of the equation.
a + dn + -1dn = 143 + d + -1dn

Combine like terms: dn + -1dn = 0
a + 0 = 143 + d + -1dn
a = 143 + d + -1dn

Simplifying
a = 143 + d + -1dn

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