Question

Enter the number that makes the expression below equivalent to c
.(1 point)
(−5+
)+(8⋅18)+c

Answer 1

To find the number that makes the expression \( (-5 + \_\_) + (8 \cdot 18) + c \) equivalent to \( c \), we can first simplify the expression step-by-step.

1. **Calculate \( 8 \cdot 18 \)**:
\[
8 \cdot 18 = 144
\]

2. **Plug in the calculation into the expression**:
\[
(-5 + \_\_) + 144 + c
\]

3. **Combine constants (without the blank)**:
To make the entire expression equal to \( c \), we set up the equation:
\[
(-5 + \_\_) + 144 + c = c
\]

4. **Rearranging gives**:
\[
-5 + \_\_ + 144 = 0
\]

5. **Combine constants**:
\[
-5 + 144 = 139
\]
Therefore, we have:
\[
139 + \_\_ = 0
\]

6. **Solve for the blank**:
\[
\_\_ = -139
\]

Thus, the number that makes the expression equivalent to \( c \) is \(-139\).