Question

- 12 = 2 + 5d + 2d
................

Answer 1

-2

Explanation:

12=2+7d

7d= -12-2

7d= -14

d= -14

-----

7

d= -2

Answer 2

`\huge\text{Hey there!}`

`\large\textsf{-12 = 2 + 5d + 2d}`

`\large\text{FLIP the EQUATION}`

`\large\textsf{2 + 5d + 2d = -12}`

`\large\text{COMBINE the LIKE TERMS}`

`\large\textsf{\underline{(5d + 2d)} + \bf{(2)}}\large\textsf{ = (-12)}`

`\large\textsf{5d + 2d = \underline{7d}}`

`\large\textsf{2 = \bf 2}`

`\large\textsf{-12 = -12}`

`\rightarrow\large\text{New equation: }\large\textsf{7d + 2 = -12}`

`\large\textsf{7d + 2 = -12}`

`\large\text{SUBTRACT by 2 to BOTH SIDES}`

`\large\textsf{7d + 2 - 2 = -12 - 2}`

`\large\text{CANCEL out: \textsf{2 - 2} because that gives you \textsf{0}}`

`\large\text{Keep: \textsf{-12 - 2}}\large\text{ because it helps you solve for d}}`

`\large\textsf{-12 - 2 = -14}`

`\rightarrow\large\text{New equation: \text{\underline{7d} = -14}}`

`\large\textsf{7d = -14}`

`\large\text{DIVIDE 7 to BOTH SIDES}`

`\mathsf{(7d)/(7)=(-14)/(7)}`

`\large\text{Cancel out: }\mathsf{(7)/(7)}\large\text{ because it gives you 1}`

`\large\text{Keep: }\mathsf{(-14)/(7)}\large\text{ because it helps you solve for d}`

`\mathsf{(-14)/(2)=-14/ 7\rightarrow \bf d}`

`\large\text{Solve above and you will have your d {(aka your answer)}}\uparrow`

`\mathsf{(-14)/(7)=\bf -2}`

`\boxed{\boxed{\large\text{Answer: \huge \bf d = -2}}}\huge\checkmark`

`\text{Good luck on your assignment and enjoy your day!}`

~
`\frak{Amphitrite1040:)}`