Question

sometimes, it can be helpful to rewrite part of an equation by using the distributive property or combining like terms. consider the equation below with that in mind. what is the value of u?
one way to start solving is to use the distributive property to rewrite the right side of the equation.
rewrite 2(u - 7) to get rid of the parentheses on the right side.
\\(\

$$\begin{align*} 15u + 12 &= 2(u - 7) \\\\ 15u + 12 &= \\square - \\square \\end{align*}$$

\\)

Explanation:

Step1: Apply distributive property

The distributive property states that \( a(b - c)=ab - ac \). For \( 2(u - 7) \), we distribute the 2 to both \( u \) and \( - 7 \).
So, \( 2(u-7)=2\times u-2\times7 \)

Step2: Calculate the products

\( 2\times u = 2u \) and \( 2\times7 = 14 \), so \( 2(u - 7)=2u-14 \)

Answer:

\( 2u \) and \( 14 \) (in the boxes, the first box is \( 2u \) and the second box is \( 14 \))