Answer:
[tex]\boxed {\tt b=7}[/tex]
Step-by-step explanation:
We want to solve for [tex]b[/tex]. Therefore, we must isolate the variable on one side of the equation.
We are given the equation:
[tex]-42= -6b[/tex]
-6 and b are being multiplied. The inverse of multiplication is division. Since this is an equation, we have to perform the operation to both sides of the equation. Divide both sides of the equation by -6.
[tex]\frac{-42}{-6} =\frac{-6b}{-6}[/tex]
[tex]\frac{-42}{-6} =b[/tex]
[tex]7=b[/tex]
b=7
Let's check our solution. Plug 7 in for [tex]b[/tex] and solve.
[tex]-42=-6b[/tex]
[tex]-42=-6*7[/tex]
Multiply.
[tex]-42=-42[/tex]
This checks out, so we know our solution is correct.
The solution to -42 = -6b is b= 7
