Answer:
[tex]\boxed {b = 3}[/tex]
Step-by-step explanation:
Solve for the value of [tex]b[/tex]:
[tex]-5 (1-4b) - 5 = 34 + 7b - 1 - 4[/tex]
-Use Distributive Property:
[tex]-5 (1-4b) - 5 = 34 + 7b - 1 - 4[/tex]
[tex]-5 + 20b - 5 = 34 + 7b - 1 - 4[/tex]
-Combine like terms:
[tex]-5 + 20b - 5 = 34 + 7b - 1 - 4[/tex]
[tex]-10 + 20b = 29 + 7b[/tex]
-Take [tex]7b[/tex] and subtract it from [tex]20b[/tex]:
[tex]-10 + 20b - 7b = 29 + 7b - 7b[/tex]
[tex]-10 + 13b = 29[/tex]
-Add [tex]10[/tex] on both sides:
[tex]-10 + 10 + 13b = 29 + 10[/tex]
[tex]13b = 39[/tex]
-Divide both sides by [tex]13[/tex]:
[tex]\frac{13b}{13} = \frac{39}{13}[/tex]
[tex]\boxed {b = 3}[/tex]
Therefore, the value of [tex]b[/tex] is [tex]3[/tex].
