A+(n-1)d=45

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Solution for A+(n-1)d=45 equation:


Simplifying
A + (n + -1) * d = 45

Reorder the terms:
A + (-1 + n) * d = 45

Reorder the terms for easier multiplication:
A + d(-1 + n) = 45
A + (-1 * d + n * d) = 45
A + (-1d + dn) = 45

Solving
A + -1d + dn = 45

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 = 45 + d

Combine like terms: -1d + d = 0
A + 0 + dn = 45 + d
A + dn = 45 + d

Add '-1dn' to each side of the equation.
A + dn + -1dn = 45 + d + -1dn

Combine like terms: dn + -1dn = 0
A + 0 = 45 + d + -1dn
A = 45 + d + -1dn

Simplifying
A = 45 + d + -1dn

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