Answer:
b = 2
Step-by-step explanation:
[tex]-2-2(-7+b)=-8b+24\qquad\text{use the distributive property}\\\\-2+(-2)(-7)+(-2)(b)=-8b+24\\\\-2+14-2b=-8b+24\qquad\text{combine like terms}\\\\(-2+14)-2b=-8b+24\\\\12-2b=-8b+24\qquad\text{subtract 12 from both sides}\\\\12-12-2b=-8b+24-12\\\\-2b=-8b+12\qquad\text{add}\ 8b\ \text{to both sides}\\\\-2b+8b=-8b+8b+12\\\\6b=12\qquad\text{divide both sides by 6}\\\\\dfrac{6b}{6}=\dfrac{12}{6}\\\\b=2[/tex]
