Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression
5+5(9b - 7)
FIRST CASE (JUST EVALUATION)
Given the expression
[tex]5+5\left(9b-7\right)[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac[/tex]
[tex]5+5\left(9b-7\right)=5+5\cdot \:9b-5\cdot \:7[/tex]
[tex]=5+45b-35[/tex]
[tex]= 45b - 30[/tex]
Therefore, we conclude that:
[tex]5+5\left(9b-7\right)=45b-30[/tex]
SECOND CASE (Finding the value of b)
Assuming we have to determine the value of b
[tex]5+5(9b - 7) = 0[/tex]
As we have determined
[tex]5+5\left(9b-7\right)=45b-30[/tex]
so substituting [tex]5+5\left(9b-7\right)=45b-30[/tex] in the equation
[tex]45b-30 = 0[/tex]
Add 30 to both sides
[tex]45b-30+30=0+30[/tex]
Simplify
[tex]45b=30[/tex]
Divide both sides by 45
[tex]\frac{45b}{45}=\frac{30}{45}[/tex]
Simplify
[tex]b=\frac{2}{3}[/tex]
Therefore, the value of b = 2/3
