[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{-12 = 2 + 5d + 2d}[/tex]
[tex]\large\text{FLIP the EQUATION}[/tex]
[tex]\large\textsf{2 + 5d + 2d = -12}[/tex]
[tex]\large\text{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{\underline{(5d + 2d)} + \bf{(2)}}\large\textsf{ = (-12)}[/tex]
[tex]\large\textsf{5d + 2d = \underline{7d}}[/tex]
[tex]\large\textsf{2 = \bf 2}[/tex]
[tex]\large\textsf{-12 = -12}[/tex]
[tex]\rightarrow\large\text{New equation: }\large\textsf{7d + 2 = -12}[/tex]
[tex]\large\textsf{7d + 2 = -12}[/tex]
[tex]\large\text{SUBTRACT by 2 to BOTH SIDES}[/tex]
[tex]\large\textsf{7d + 2 - 2 = -12 - 2}[/tex]
[tex]\large\text{CANCEL out: \textsf{2 - 2} because that gives you \textsf{0}}[/tex]
[tex]\large\text{Keep: \textsf{-12 - 2}}\large\text{ because it helps you solve for d}}[/tex]
[tex]\large\textsf{-12 - 2 = -14}[/tex]
[tex]\rightarrow\large\text{New equation: \text{\underline{7d} = -14}}[/tex]
[tex]\large\textsf{7d = -14}[/tex]
[tex]\large\text{DIVIDE 7 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{7d}{7}=\dfrac{-14}{7}}[/tex]
[tex]\large\text{Cancel out: }\mathsf{\dfrac{7}{7}}\large\text{ because it gives you 1}[/tex]
[tex]\large\text{Keep: }\mathsf{\dfrac{-14}{7}}\large\text{ because it helps you solve for d}[/tex]
[tex]\mathsf{\dfrac{-14}{2}=-14\div 7\rightarrow \bf d}[/tex]
[tex]\large\text{Solve above and you will have your d {(aka your answer)}}\uparrow[/tex]
[tex]\mathsf{\dfrac{-14}{7}=\bf -2}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf d = -2}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
