Solve for k 7(9+k)=84

$7 (9 + k) = 84$

Step 1

Divide each term in $7 (9 + k) = 84$ by $7$ and simplify.

Divide each term in $7 (9 + k) = 84$ by $7$ .

$\frac{7 (9 + k)}{7} = \frac{84}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 (9 + k)}{7} = \frac{84}{7}$

Divide $9 + k$ by $1$ .

$9 + k = \frac{84}{7}$

Simplify the right side.

Divide $84$ by $7$ .

$9 + k = 12$

Step 2

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

Subtract $9$ from both sides of the equation.

$k = 12 - 9$

Subtract $9$ from $12$ .

$k = 3$