Evaluate 1/2(7-3(6+1))

$\frac{1}{2} (7 - 3 (6 + 1))$

Simplify each term.

Add $6$ and $1$ .

$\frac{1}{2} \cdot (7 - 3 \cdot 7)$

Multiply $- 3$ by $7$ .

$\frac{1}{2} \cdot (7 - 21)$

Reduce the expression by cancelling the common factors.

Subtract $21$ from $7$ .

$\frac{1}{2} \cdot - 14$

Cancel the common factor of $2$ .

Factor $2$ out of $- 14$ .

$\frac{1}{2} \cdot (2 (- 7))$

Cancel the common factor.

$\frac{1}{2} \cdot (2 \cdot - 7)$

Rewrite the expression.

$- 7$