Enter the number that makes the expression below equivalent to c

Question

.(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 \(-139\).