Question

if $-5(-4b - 1) = 125$, then $-7b =$ ______? teks a2.1(b) record your answer and fill in the bubbles on your answer document. be sure to use the correct place value.

Explanation:

Step1: Solve for \( b \) from the equation \( -5(-4b - 1)=125 \)

First, divide both sides of the equation by \(-5\):
\( \frac{-5(-4b - 1)}{-5}=\frac{125}{-5} \)
Simplify both sides:
\( -4b - 1=-25 \)

Step2: Isolate the term with \( b \)

Add \( 1 \) to both sides of the equation:
\( -4b - 1 + 1=-25 + 1 \)
Simplify:
\( -4b=-24 \)

Step3: Solve for \( b \)

Divide both sides by \(-4\):
\( \frac{-4b}{-4}=\frac{-24}{-4} \)
Simplify:
\( b = 6 \)

Step4: Calculate \( -7b \)

Substitute \( b = 6 \) into \( -7b \):
\( -7\times6=-42 \)

Answer:

\(-42\)