Question

write the word sentence as an equation. then solve the equation. the difference between a number p and 6 is -14. equation: \square solution: p = \square

Explanation:

Step1: Translate the word sentence into an equation.

The difference between \( p \) and \( 6 \) is written as \( p - 6 \), and this equals \( -14 \). So the equation is \( p - 6 = -14 \).

Step2: Solve the equation for \( p \).

To isolate \( p \), we add \( 6 \) to both sides of the equation.
\[

$$\begin{align*} p - 6 + 6 &= -14 + 6\\ p &= -8 \end{align*}$$

\]

Answer:

Equation: \( p - 6 = -14 \)
Solution: \( p = -8 \)