Question

Solve the equation.

7-2 (-8k + 2) =-93

Answer 1

• k = -6

Explanation:

`\sf 7-2 (-8k + 2) =-93`

Distribute:-

• 
  `\sf 7+16k-4=-93`

Subtract:-

`\sf 7-4=\bf 3`

• 
  `\sf 3+16k=-93`

Rearrange terms:-

• 
  `\sf 16k+3=-93`

Subtract 3 from both sides :-

• 
  `\sf 16k+3-3=-93-3`

• 
  `\sf 16k=-96`

Divide both sides by 16:-

• 
  `\sf \cfrac{16k}{16} =\cfrac{-96}{16}`

• 
  `\sf k=-6`

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Answer 2

k = -6

Explanation:

7 - 2(-8k + 2) = - 93

7 + 16k - 4 = -93

3 + 16k = -93

16k = - 96

k = -6