Question

which expression is equivalent to $-3(-8q - 4) + -7(-3q + 5)$? $45q - 23$ $45q - 39$ $45q + 17$ $-23q + 45$

Explanation:

Step1: Distribute -3 to first term

$$\begin{align*} -3(-8q - 4) &= (-3)(-8q) + (-3)(-4) \\ &= 24q + 12 \end{align*}$$

Step2: Distribute -7 to second term

$$\begin{align*} -7(-3q + 5) &= (-7)(-3q) + (-7)(5) \\ &= 21q - 35 \end{align*}$$

Step3: Combine the two results

$$\begin{align*} (24q + 12) + (21q - 35) &= (24q + 21q) + (12 - 35) \\ &= 45q - 23 \end{align*}$$

Answer:

45q - 23