Simplify -1/2(18d-6)-10d

$- \frac{1}{2} (18 d - 6) - 10 d$

Step 1

Simplify each term.

Apply the distributive property.

$- \frac{1}{2} (18 d) - \frac{1}{2} \cdot - 6 - 10 d$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$\frac{- 1}{2} (18 d) - \frac{1}{2} \cdot - 6 - 10 d$

Factor $2$ out of $18 d$ .

$\frac{- 1}{2} (2 (9 d)) - \frac{1}{2} \cdot - 6 - 10 d$

Cancel the common factor.

$\frac{- 1}{2} (2 (9 d)) - \frac{1}{2} \cdot - 6 - 10 d$

Rewrite the expression.

$- 1 (9 d) - \frac{1}{2} \cdot - 6 - 10 d$

Multiply $9$ by $- 1$ .

$- 9 d - \frac{1}{2} \cdot - 6 - 10 d$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$- 9 d + \frac{- 1}{2} \cdot - 6 - 10 d$

Factor $2$ out of $- 6$ .

$- 9 d + \frac{- 1}{2} \cdot (2 (- 3)) - 10 d$

Cancel the common factor.

$- 9 d + \frac{- 1}{2} \cdot (2 \cdot - 3) - 10 d$

Rewrite the expression.

$- 9 d - 1 \cdot - 3 - 10 d$

Multiply $- 1$ by $- 3$ .

$- 9 d + 3 - 10 d$

Step 2

Subtract $10 d$ from $- 9 d$ .

$- 19 d + 3$