Solve for n 7*n=42+7

$7 \cdot n = 42 + 7$

Add $42$ and $7$ .

$7 \cdot n = 49$

Divide each term in $(7 \cdot n) = 49$ by $7$ and simplify.

Divide each term in $(7 \cdot n) = 49$ by $7$ .

$\frac{(7 \cdot n)}{7} = \frac{49}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 \cdot n}{7} = \frac{49}{7}$

Divide $n$ by $1$ .

$n = \frac{49}{7}$

Simplify the right side.

Divide $49$ by $7$ .

$n = 7$