Algebra Examples

$S = a + (n - 1) d$

Step 1

Rewrite the equation as $a + (n - 1) d = S$ .

$a + (n - 1) d = S$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$a + n d - 1 d = S$

Step 2.2

Rewrite $- 1 d$ as $- d$ .

$a + n d - d = S$

Step 3

Move all terms not containing $a$ to the right side of the equation.

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Step 3.1

Subtract $n d$ from both sides of the equation.

$a - d = S - n d$

Step 3.2

Add $d$ to both sides of the equation.

$a = S - n d + d$