Algebra Examples

$- 7 d + 8 = - 7 + 1 - 9 d$

Step 1

Add $- 7$ and $1$ .

$- 7 d + 8 = - 6 - 9 d$

Step 2

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

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Step 2.1

Add $9 d$ to both sides of the equation.

$- 7 d + 8 + 9 d = - 6$

Step 2.2

Add $- 7 d$ and $9 d$ .

$2 d + 8 = - 6$

Step 3

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

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Step 3.1

Subtract $8$ from both sides of the equation.

$2 d = - 6 - 8$

Step 3.2

Subtract $8$ from $- 6$ .

$2 d = - 14$

Step 4

Divide each term in $2 d = - 14$ by $2$ and simplify.

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Step 4.1

Divide each term in $2 d = - 14$ by $2$ .

$\frac{2 d}{2} = \frac{- 14}{2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{2 d}{2} = \frac{- 14}{2}$

Step 4.2.1.2

Divide $d$ by $1$ .

$d = \frac{- 14}{2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 14$ by $2$ .

$d = - 7$