Finite Math Examples

$a \cdot 8 = a \cdot 1 + (8 - 1) d$

Step 1

Move $8$ to the left of $a$ .

$8 a = a \cdot 1 + (8 - 1) d$

Step 2

Simplify each term.

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Step 2.1

Multiply $a$ by $1$ .

$8 a = a + (8 - 1) d$

Step 2.2

Subtract $1$ from $8$ .

$8 a = a + 7 d$

Step 3

Move all terms containing $a$ to the left side of the equation.

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Step 3.1

Subtract $a$ from both sides of the equation.

$8 a - a = 7 d$

Step 3.2

Subtract $a$ from $8 a$ .

$7 a = 7 d$

Step 4

Divide each term in $7 a = 7 d$ by $7$ and simplify.

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Step 4.1

Divide each term in $7 a = 7 d$ by $7$ .

$\frac{7 a}{7} = \frac{7 d}{7}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $7$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{7 a}{7} = \frac{7 d}{7}$

Step 4.2.1.2

Divide $a$ by $1$ .

$a = \frac{7 d}{7}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $7$ .

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Step 4.3.1.1

Cancel the common factor.

$a = \frac{7 d}{7}$

Step 4.3.1.2

Divide $d$ by $1$ .

$a = d$