[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-7b - 12 = -61}[/tex]
[tex]\large\textsf{ADD 12 to BOTH SIDES}[/tex]
[tex]\mathsf{-7b - 12 + 12 = -61 + 12}[/tex]
[tex]\large\textsf{CANCEL out: -12 + 12 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: -61 + 12 because it helps solve for your b-value}[/tex]
[tex]\mathsf{-61+12=\bf -49}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{-7b = -49}}[/tex]
[tex]\large\textsf{DIVIDE -7 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{-7b}{-7}=\dfrac{-49}{-7}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{-7}{7}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{-49}{-7}}\large\textsf{ because that gives you your b-value}[/tex]
[tex]\mathsf{\dfrac{-49}{-7}= \bf b}[/tex]
[tex]\uparrow\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR ANSWER}\uparrow[/tex]
[tex]\mathsf{-49\div -7= \bf 7}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf b = 7}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
