Question

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

Answer 1

$\huge\text{Hey there!}$

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

$\large\text{FLIP the EQUATION}$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$\mathsf{\dfrac{7d}{7}=\dfrac{-14}{7}}$

$\large\text{Cancel out: }\mathsf{\dfrac{7}{7}}\large\text{ because it gives you 1}$

$\large\text{Keep: }\mathsf{\dfrac{-14}{7}}\large\text{ because it helps you solve for d}$

$\mathsf{\dfrac{-14}{2}=-14\div 7\rightarrow \bf d}$

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

$\mathsf{\dfrac{-14}{7}=\bf -2}$

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

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

~$\frak{Amphitrite1040:)}$

Answer 2

Answer:

-2

Step-by-step explanation:

12=2+7d

7d= -12-2

7d= -14

d= -14

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7

d= -2